57842400 has 288 divisors, whose sum is σ = 235484928. Its totient is φ = 11980800.

The previous prime is 57842371. The next prime is 57842413. The reversal of 57842400 is 424875.

57842400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184644 + ... + 184956.

It is an arithmetic number, because the mean of its divisors is an integer number (817656).

Almost surely, 2^57842400 is an apocalyptic number.

57842400 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 57842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117742464).

57842400 is an abundant number, since it is smaller than the sum of its proper divisors (177642528).

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

57842400 is a wasteful number, since it uses less digits than its factorization.

57842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57842400 is about 7605.4191206008. The cubic root of 57842400 is about 386.7367424850.

The spelling of 57842400 in words is "fifty-seven million, eight hundred forty-two thousand, four hundred".