57226400 has 144 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 17817600.

The previous prime is 57226387. The next prime is 57226409. The reversal of 57226400 is 462275.

It is a self number, because there is not a number n which added to its sum of digits gives 57226400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57226409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61136 + ... + 62064.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^57226400 is an apocalyptic number.

57226400 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 57226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

57226400 is an abundant number, since it is smaller than the sum of its proper divisors (117137440).

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

57226400 is a wasteful number, since it uses less digits than its factorization.

57226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 57226400 is about 7564.8132825603. The cubic root of 57226400 is about 385.3589725506.

Adding to 57226400 its reverse (462275), we get a palindrome (57688675).

The spelling of 57226400 in words is "fifty-seven million, two hundred twenty-six thousand, four hundred".