57220400 has 60 divisors (see below), whose sum is σ = 144726600. Its totient is φ = 21680640.

The previous prime is 57220399. The next prime is 57220403. The reversal of 57220400 is 402275.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (57220403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3836 + ... + 11364.

It is an arithmetic number, because the mean of its divisors is an integer number (2412110).

Almost surely, 2^57220400 is an apocalyptic number.

57220400 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 57220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72363300).

57220400 is an abundant number, since it is smaller than the sum of its proper divisors (87506200).

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

57220400 is a wasteful number, since it uses less digits than its factorization.

57220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 57220400 is about 7564.4166992571. The cubic root of 57220400 is about 385.3455042059.

Adding to 57220400 its reverse (402275), we get a palindrome (57622675).

The spelling of 57220400 in words is "fifty-seven million, two hundred twenty thousand, four hundred".