57978500 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 20620800.

The previous prime is 57978467. The next prime is 57978509. The reversal of 57978500 is 587975.

It is a happy number.

57978500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57978509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161321 + ... + 161679.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^57978500 is an apocalyptic number.

57978500 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 57978500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

57978500 is an abundant number, since it is smaller than the sum of its proper divisors (83544700).

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

57978500 is a wasteful number, since it uses less digits than its factorization.

57978500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The square root of 57978500 is about 7614.3614308752. The cubic root of 57978500 is about 387.0398283540.

The spelling of 57978500 in words is "fifty-seven million, nine hundred seventy-eight thousand, five hundred".