576460800 has 360 divisors, whose sum is σ = 2150448300. Its totient is φ = 152616960.

The previous prime is 576460789. The next prime is 576460847. The reversal of 576460800 is 8064675.

It is a happy number.

576460800 is a `hidden beast` number, since 5 + 7 + 646 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147131 + ... + 4147269.

Almost surely, 2^576460800 is an apocalyptic number.

576460800 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 576460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075224150).

576460800 is an abundant number, since it is smaller than the sum of its proper divisors (1573987500).

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

576460800 is a wasteful number, since it uses less digits than its factorization.

576460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 576460800 is about 24009.5980807676. The cubic root of 576460800 is about 832.2553456880.

It can be divided in two parts, 5764 and 60800, that added together give a square (66564 = 258²).

The spelling of 576460800 in words is "five hundred seventy-six million, four hundred sixty thousand, eight hundred".