57468420 has 96 divisors (see below), whose sum is σ = 184611840. Its totient is φ = 14826240.

The previous prime is 57468409. The next prime is 57468461. The reversal of 57468420 is 2486475.

57468420 is a `hidden beast` number, since 574 + 6 + 84 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15024 + ... + 18456.

It is an arithmetic number, because the mean of its divisors is an integer number (1923040).

Almost surely, 2^57468420 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 57468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92305920).

57468420 is an abundant number, since it is smaller than the sum of its proper divisors (127143420).

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

57468420 is a wasteful number, since it uses less digits than its factorization.

57468420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57468420 is about 7580.7928345260. The cubic root of 57468420 is about 385.9014576590.

The spelling of 57468420 in words is "fifty-seven million, four hundred sixty-eight thousand, four hundred twenty".