57253440 has 112 divisors (see below), whose sum is σ = 189756288. Its totient is φ = 14598144.

The previous prime is 57253439. The next prime is 57253451. The reversal of 57253440 is 4435275.

57253440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57253398 and 57253407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20784 + ... + 23376.

Almost surely, 2^57253440 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 57253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94878144).

57253440 is an abundant number, since it is smaller than the sum of its proper divisors (132502848).

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

57253440 is a wasteful number, since it uses less digits than its factorization.

57253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 57253440 is about 7566.6002933946. The cubic root of 57253440 is about 385.4196582123.

The spelling of 57253440 in words is "fifty-seven million, two hundred fifty-three thousand, four hundred forty".