575440800 has 288 divisors, whose sum is σ = 2078866944. Its totient is φ = 137088000.

The previous prime is 575440793. The next prime is 575440813. The reversal of 575440800 is 8044575.

It is a super-2 number, since 2×575440800² = 662264228609280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1874247 + ... + 1874553.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^575440800 is an apocalyptic number.

575440800 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 575440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039433472).

575440800 is an abundant number, since it is smaller than the sum of its proper divisors (1503426144).

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

575440800 is a wasteful number, since it uses less digits than its factorization.

575440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 575440800 is about 23988.3471710745. The cubic root of 575440800 is about 831.7641867449.

The spelling of 575440800 in words is "five hundred seventy-five million, four hundred forty thousand, eight hundred".