704642400 has 864 divisors, whose sum is σ = 3275790336. Its totient is φ = 138240000.

The previous prime is 704642387. The next prime is 704642437. The reversal of 704642400 is 4246407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17186380 + ... + 17186420.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^704642400 is an apocalyptic number.

704642400 is a gapful number since it is divisible by the number (70) 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 704642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

704642400 is an abundant number, since it is smaller than the sum of its proper divisors (2571147936).

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

704642400 is a wasteful number, since it uses less digits than its factorization.

704642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 704642400 is about 26545.1012429789. The cubic root of 704642400 is about 889.8625382111.

Adding to 704642400 its reverse (4246407), we get a palindrome (708888807).

The spelling of 704642400 in words is "seven hundred four million, six hundred forty-two thousand, four hundred".