57480192 has 308 divisors, whose sum is σ = 214787616. Its totient is φ = 14929920.

The previous prime is 57480191. The next prime is 57480193. The reversal of 57480192 is 29108475.

57480192 is a `hidden beast` number, since 574 + 80 + 1 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (57480191) and next prime (57480193).

It is a tau number, because it is divible by the number of its divisors (308).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57480191) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225467 + ... + 5225477.

Almost surely, 2^57480192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107393808).

57480192 is an abundant number, since it is smaller than the sum of its proper divisors (157307424).

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

57480192 is an equidigital number, since it uses as much as digits as its factorization.

57480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57480192 is about 7581.5692307068. The cubic root of 57480192 is about 385.9278055895.

It can be divided in two parts, 57 and 480192, that added together give a square (480249 = 693²).

The spelling of 57480192 in words is "fifty-seven million, four hundred eighty thousand, one hundred ninety-two".