576385920 has 288 divisors, whose sum is σ = 2190366360. Its totient is φ = 139560960.

The previous prime is 576385871. The next prime is 576385921. The reversal of 576385920 is 29583675.

It is a happy number.

576385920 is a `hidden beast` number, since 5 + 7 + 638 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576385921) 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 35 ways as a sum of consecutive naturals, for example, 696547 + ... + 697373.

Almost surely, 2^576385920 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 576385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095183180).

576385920 is an abundant number, since it is smaller than the sum of its proper divisors (1613980440).

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

576385920 is a wasteful number, since it uses less digits than its factorization.

576385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 576385920 is about 24008.0386537510. The cubic root of 576385920 is about 832.2193085577.

The spelling of 576385920 in words is "five hundred seventy-six million, three hundred eighty-five thousand, nine hundred twenty".