57423600 has 240 divisors, whose sum is σ = 220645600. Its totient is φ = 14100480.

The previous prime is 57423589. The next prime is 57423647. The reversal of 57423600 is 632475.

It is a happy number.

57423600 is a `hidden beast` number, since 57 + 4 + 2 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140196 + ... + 140604.

Almost surely, 2^57423600 is an apocalyptic number.

57423600 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 57423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110322800).

57423600 is an abundant number, since it is smaller than the sum of its proper divisors (163222000).

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

57423600 is a wasteful number, since it uses less digits than its factorization.

57423600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57423600 is about 7577.8361027407. The cubic root of 57423600 is about 385.8011092025.

The spelling of 57423600 in words is "fifty-seven million, four hundred twenty-three thousand, six hundred".