576794400 has 576 divisors, whose sum is σ = 2449843200. Its totient is φ = 114462720.

The previous prime is 576794399. The next prime is 576794431. The reversal of 576794400 is 4497675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 4149531 + ... + 4149669.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^576794400 is an apocalyptic number.

576794400 is a gapful number since it is divisible by the number (50) 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 576794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224921600).

576794400 is an abundant number, since it is smaller than the sum of its proper divisors (1873048800).

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

576794400 is a wasteful number, since it uses less digits than its factorization.

576794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 576794400 is about 24016.5442976295. The cubic root of 576794400 is about 832.4158578127.

The spelling of 576794400 in words is "five hundred seventy-six million, seven hundred ninety-four thousand, four hundred".