704464000 has 64 divisors (see below), whose sum is σ = 1751513400. Its totient is φ = 281779200.

The previous prime is 704463989. The next prime is 704464021. The reversal of 704464000 is 464407.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77862976 + 626601024 = 8824^2 + 25032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6015 + ... + 38014.

Almost surely, 2^704464000 is an apocalyptic number.

It is an amenable number.

704464000 is an abundant number, since it is smaller than the sum of its proper divisors (1047049400).

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

704464000 is an equidigital number, since it uses as much as digits as its factorization.

704464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44058 (or 44036 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 704464000 is about 26541.7407115660. The cubic root of 704464000 is about 889.7874339803.

The spelling of 704464000 in words is "seven hundred four million, four hundred sixty-four thousand".