704932200 has 384 divisors, whose sum is σ = 2940883200. Its totient is φ = 151511040.

The previous prime is 704932199. The next prime is 704932201. The reversal of 704932200 is 2239407.

It is an interprime number because it is at equal distance from previous prime (704932199) and next prime (704932201).

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

It is not an unprimeable number, because it can be changed into a prime (704932201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642052 + ... + 643148.

It is an arithmetic number, because the mean of its divisors is an integer number (7658550).

Almost surely, 2^704932200 is an apocalyptic number.

704932200 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 704932200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470441600).

704932200 is an abundant number, since it is smaller than the sum of its proper divisors (2235951000).

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

704932200 is a wasteful number, since it uses less digits than its factorization.

704932200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 704932200 is about 26550.5593161425. The cubic root of 704932200 is about 889.9845134704.

The spelling of 704932200 in words is "seven hundred four million, nine hundred thirty-two thousand, two hundred".