575152160 has 192 divisors, whose sum is σ = 1606832640. Its totient is φ = 192184320.

The previous prime is 575152129. The next prime is 575152163. The reversal of 575152160 is 61251575.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (575152163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406036 + ... + 1406444.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2^575152160 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 575152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803416320).

575152160 is an abundant number, since it is smaller than the sum of its proper divisors (1031680480).

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

575152160 is a wasteful number, since it uses less digits than its factorization.

575152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 575152160 is about 23982.3301620172. The cubic root of 575152160 is about 831.6250930464.

The spelling of 575152160 in words is "five hundred seventy-five million, one hundred fifty-two thousand, one hundred sixty".