57457440 has 72 divisors (see below), whose sum is σ = 196078428. Its totient is φ = 15321600.

The previous prime is 57457423. The next prime is 57457471. The reversal of 57457440 is 4475475.

57457440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 7160976 = 7092^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×57457440² = 6602714822707200, which contains 22 as substring.

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 = 57457395 and 57457404.

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 11 ways as a sum of consecutive naturals, for example, 18511 + ... + 21390.

Almost surely, 2^57457440 is an apocalyptic number.

It is an amenable number.

57457440 is an abundant number, since it is smaller than the sum of its proper divisors (138620988).

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

57457440 is a wasteful number, since it uses less digits than its factorization.

57457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39922 (or 39911 counting only the distinct ones).

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

The square root of 57457440 is about 7580.0686012727. The cubic root of 57457440 is about 385.8768791288.

The spelling of 57457440 in words is "fifty-seven million, four hundred fifty-seven thousand, four hundred forty".