575124480 has 264 divisors, whose sum is σ = 2278753152. Its totient is φ = 131383296.

The previous prime is 575124469. The next prime is 575124481. The reversal of 575124480 is 84421575.

575124480 is a `hidden beast` number, since 57 + 5 + 124 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575124481) 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, 321669 + ... + 323451.

Almost surely, 2^575124480 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 575124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139376576).

575124480 is an abundant number, since it is smaller than the sum of its proper divisors (1703628672).

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

575124480 is a wasteful number, since it uses less digits than its factorization.

575124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 575124480 is about 23981.7530635273. The cubic root of 575124480 is about 831.6117517932.

The spelling of 575124480 in words is "five hundred seventy-five million, one hundred twenty-four thousand, four hundred eighty".