57348480 has 256 divisors, whose sum is σ = 222082560. Its totient is φ = 12288000.

The previous prime is 57348439. The next prime is 57348503. The reversal of 57348480 is 8484375.

57348480 = 340² + 341² + ... + 595².

It is a congruent number.

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, 228355 + ... + 228605.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^57348480 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 57348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

57348480 is an abundant number, since it is smaller than the sum of its proper divisors (164734080).

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

57348480 is a wasteful number, since it uses less digits than its factorization.

57348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 57348480 is about 7572.8779205795. The cubic root of 57348480 is about 385.6328042660.

The spelling of 57348480 in words is "fifty-seven million, three hundred forty-eight thousand, four hundred eighty".