575462880 has 432 divisors, whose sum is σ = 2201747184. Its totient is φ = 141834240.

The previous prime is 575462831. The next prime is 575462891. The reversal of 575462880 is 88264575.

575462880 is a `hidden beast` number, since 5 + 7 + 546 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14035660 + ... + 14035700.

It is an arithmetic number, because the mean of its divisors is an integer number (5096637).

Almost surely, 2^575462880 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 575462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100873592).

575462880 is an abundant number, since it is smaller than the sum of its proper divisors (1626284304).

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

575462880 is a wasteful number, since it uses less digits than its factorization.

575462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 575462880 is about 23988.8073901142. The cubic root of 575462880 is about 831.7748250349.

The spelling of 575462880 in words is "five hundred seventy-five million, four hundred sixty-two thousand, eight hundred eighty".