575542800 has 480 divisors, whose sum is σ = 2450319360. Its totient is φ = 125452800.

The previous prime is 575542771. The next prime is 575542841. The reversal of 575542800 is 8245575.

It is a happy number.

575542800 is a `hidden beast` number, since 575 + 5 + 4 + 2 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738635 + ... + 1738965.

It is an arithmetic number, because the mean of its divisors is an integer number (5104832).

Almost surely, 2^575542800 is an apocalyptic number.

575542800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225159680).

575542800 is an abundant number, since it is smaller than the sum of its proper divisors (1874776560).

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

575542800 is a wasteful number, since it uses less digits than its factorization.

575542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 575542800 is about 23990.4731091323. The cubic root of 575542800 is about 831.8133287445.

The spelling of 575542800 in words is "five hundred seventy-five million, five hundred forty-two thousand, eight hundred".