704344032 has 288 divisors, whose sum is σ = 2426941440. Its totient is φ = 198132480.

The previous prime is 704344031. The next prime is 704344033. The reversal of 704344032 is 230443407.

It is an interprime number because it is at equal distance from previous prime (704344031) and next prime (704344033).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×704344032² = 992201030828034048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 704343987 and 704344005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704344031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5376607 + ... + 5376737.

It is an arithmetic number, because the mean of its divisors is an integer number (8426880).

Almost surely, 2^704344032 is an apocalyptic number.

704344032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213470720).

704344032 is an abundant number, since it is smaller than the sum of its proper divisors (1722597408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

704344032 is a wasteful number, since it uses less digits than its factorization.

704344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 704344032 is about 26539.4806279249. The cubic root of 704344032 is about 889.7369217805.

Adding to 704344032 its reverse (230443407), we get a palindrome (934787439).

The spelling of 704344032 in words is "seven hundred four million, three hundred forty-four thousand, thirty-two".