57419400 has 96 divisors (see below), whose sum is σ = 180300960. Its totient is φ = 15114240.

The previous prime is 57419399. The next prime is 57419413. The reversal of 57419400 is 491475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 49224 + ... + 50376.

It is an arithmetic number, because the mean of its divisors is an integer number (1878135).

Almost surely, 2^57419400 is an apocalyptic number.

57419400 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 57419400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90150480).

57419400 is an abundant number, since it is smaller than the sum of its proper divisors (122881560).

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

57419400 is a wasteful number, since it uses less digits than its factorization.

57419400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57419400 is about 7577.5589737065. The cubic root of 57419400 is about 385.7917030573.

The spelling of 57419400 in words is "fifty-seven million, four hundred nineteen thousand, four hundred".