57219400 has 96 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 18754560.

The previous prime is 57219389. The next prime is 57219401. The reversal of 57219400 is 491275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (57219401) 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, 31312 + ... + 33088.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^57219400 is an apocalyptic number.

57219400 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 57219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

57219400 is an abundant number, since it is smaller than the sum of its proper divisors (101520440).

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

57219400 is a wasteful number, since it uses less digits than its factorization.

57219400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 57219400 is about 7564.3506000185. The cubic root of 57219400 is about 385.3432593902.

The spelling of 57219400 in words is "fifty-seven million, two hundred nineteen thousand, four hundred".