57305448 has 64 divisors (see below), whose sum is σ = 160512000. Its totient is φ = 18942336.

The previous prime is 57305431. The next prime is 57305459. The reversal of 57305448 is 84450375.

57305448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26388 + ... + 28476.

It is an arithmetic number, because the mean of its divisors is an integer number (2508000).

Almost surely, 2^57305448 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 57305448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80256000).

57305448 is an abundant number, since it is smaller than the sum of its proper divisors (103206552).

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

57305448 is a wasteful number, since it uses less digits than its factorization.

57305448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57305448 is about 7570.0361954221. The cubic root of 57305448 is about 385.5363256659.

The spelling of 57305448 in words is "fifty-seven million, three hundred five thousand, four hundred forty-eight".