57505280 has 80 divisors (see below), whose sum is σ = 157623840. Its totient is φ = 19709952.

The previous prime is 57505277. The next prime is 57505297. The reversal of 57505280 is 8250575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16316 + ... + 19524.

It is an arithmetic number, because the mean of its divisors is an integer number (1970298).

Almost surely, 2^57505280 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 57505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78811920).

57505280 is an abundant number, since it is smaller than the sum of its proper divisors (100118560).

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

57505280 is an equidigital number, since it uses as much as digits as its factorization.

57505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 57505280 is about 7583.2235889495. The cubic root of 57505280 is about 385.9839452100.

The spelling of 57505280 in words is "fifty-seven million, five hundred five thousand, two hundred eighty".