57300480 has 160 divisors (see below), whose sum is σ = 203781600. Its totient is φ = 15261696.

The previous prime is 57300469. The next prime is 57300487. The reversal of 57300480 is 8400375.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57300487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68706 + ... + 69534.

It is an arithmetic number, because the mean of its divisors is an integer number (1273635).

Almost surely, 2^57300480 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 57300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101890800).

57300480 is an abundant number, since it is smaller than the sum of its proper divisors (146481120).

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

57300480 is an equidigital number, since it uses as much as digits as its factorization.

57300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57300480 is about 7569.7080524945. The cubic root of 57300480 is about 385.5251842016.

The spelling of 57300480 in words is "fifty-seven million, three hundred thousand, four hundred eighty".