57075444 has 36 divisors (see below), whose sum is σ = 147796740. Its totient is φ = 18560640.

The previous prime is 57075439. The next prime is 57075461. The reversal of 57075444 is 44457075.

It can be written as a sum of positive squares in 2 ways, for example, as 5062500 + 52012944 = 2250^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 57075399 and 57075408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17859 + ... + 20810.

It is an arithmetic number, because the mean of its divisors is an integer number (4105465).

Almost surely, 2^57075444 is an apocalyptic number.

It is an amenable number.

57075444 is an abundant number, since it is smaller than the sum of its proper divisors (90721296).

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

57075444 is a wasteful number, since it uses less digits than its factorization.

57075444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38720 (or 38715 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 57075444 is about 7554.8291840385. The cubic root of 57075444 is about 385.0198314404.

The spelling of 57075444 in words is "fifty-seven million, seventy-five thousand, four hundred forty-four".