704390400 has 324 divisors, whose sum is σ = 2879767072. Its totient is φ = 160911360.

The previous prime is 704390389. The next prime is 704390417. The reversal of 704390400 is 4093407.

It is a super-2 number, since 2×704390400² = 992331671224320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402327 + ... + 404073.

Almost surely, 2^704390400 is an apocalyptic number.

704390400 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 704390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439883536).

704390400 is an abundant number, since it is smaller than the sum of its proper divisors (2175376672).

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

704390400 is a wasteful number, since it uses less digits than its factorization.

704390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1764 counting only the distinct ones).

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

The square root of 704390400 is about 26540.3541800029. The cubic root of 704390400 is about 889.7564455807.

The spelling of 704390400 in words is "seven hundred four million, three hundred ninety thousand, four hundred".