704166400 has 240 divisors, whose sum is σ = 2070224640. Its totient is φ = 232243200.

The previous prime is 704166383. The next prime is 704166403. The reversal of 704166400 is 4661407.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (704166403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2598265 + ... + 2598535.

It is an arithmetic number, because the mean of its divisors is an integer number (8625936).

Almost surely, 2^704166400 is an apocalyptic number.

704166400 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 704166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035112320).

704166400 is an abundant number, since it is smaller than the sum of its proper divisors (1366058240).

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

704166400 is a wasteful number, since it uses less digits than its factorization.

704166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 704166400 is about 26536.1338555563. The cubic root of 704166400 is about 889.6621197758.

It can be divided in two parts, 7041 and 66400, that added together give a square (73441 = 271²).

The spelling of 704166400 in words is "seven hundred four million, one hundred sixty-six thousand, four hundred".