57705480 has 256 divisors, whose sum is σ = 233280000. Its totient is φ = 12386304.

The previous prime is 57705467. The next prime is 57705503. The reversal of 57705480 is 8450775.

57705480 is a `hidden beast` number, since 577 + 0 + 5 + 4 + 80 = 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 63 ways as a sum of consecutive naturals, for example, 128296 + ... + 128744.

It is an arithmetic number, because the mean of its divisors is an integer number (911250).

Almost surely, 2^57705480 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 57705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640000).

57705480 is an abundant number, since it is smaller than the sum of its proper divisors (175574520).

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

57705480 is a wasteful number, since it uses less digits than its factorization.

57705480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57705480 is about 7596.4123110848. The cubic root of 57705480 is about 386.4313504134.

It can be divided in two parts, 57705 and 480, that added together give a palindrome (58185).

The spelling of 57705480 in words is "fifty-seven million, seven hundred five thousand, four hundred eighty".