57488000 has 64 divisors (see below), whose sum is σ = 142969320. Its totient is φ = 22988800.

The previous prime is 57487993. The next prime is 57488021. The reversal of 57488000 is 88475.

It can be written as a sum of positive squares in 4 ways, for example, as 12222016 + 45265984 = 3496^2 + 6728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 14204 + ... + 17796.

Almost surely, 2^57488000 is an apocalyptic number.

57488000 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 57488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71484660).

57488000 is an abundant number, since it is smaller than the sum of its proper divisors (85481320).

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

57488000 is an equidigital number, since it uses as much as digits as its factorization.

57488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 57488000 is about 7582.0841461962. The cubic root of 57488000 is about 385.9452793648.

The spelling of 57488000 in words is "fifty-seven million, four hundred eighty-eight thousand".