576315264 has 192 divisors, whose sum is σ = 1803502800. Its totient is φ = 162570240.

The previous prime is 576315263. The next prime is 576315281. The reversal of 576315264 is 462513675.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576315263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050804 + ... + 2051084.

Almost surely, 2^576315264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901751400).

576315264 is an abundant number, since it is smaller than the sum of its proper divisors (1227187536).

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

576315264 is a wasteful number, since it uses less digits than its factorization.

576315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 576315264 is about 24006.5671015245. The cubic root of 576315264 is about 832.1853014291.

The spelling of 576315264 in words is "five hundred seventy-six million, three hundred fifteen thousand, two hundred sixty-four".