57448080 has 120 divisors (see below), whose sum is σ = 195751608. Its totient is φ = 15095808.

The previous prime is 57448067. The next prime is 57448091. The reversal of 57448080 is 8084475.

57448080 is a `hidden beast` number, since 574 + 4 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 34292736 = 4812^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52014 + ... + 53106.

Almost surely, 2^57448080 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 57448080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97875804).

57448080 is an abundant number, since it is smaller than the sum of its proper divisors (138303528).

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

57448080 is a wasteful number, since it uses less digits than its factorization.

57448080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 57448080 is about 7579.4511674659. The cubic root of 57448080 is about 385.8559244667.

It can be divided in two parts, 5744 and 8080, that added together give a cube (13824 = 24³).

The spelling of 57448080 in words is "fifty-seven million, four hundred forty-eight thousand, eighty".