57406240 has 48 divisors (see below), whose sum is σ = 139302072. Its totient is φ = 22339584.

The previous prime is 57406199. The next prime is 57406241. The reversal of 57406240 is 4260475.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 10784656 = 6828^2 + 3284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57406199 and 57406208.

It is not an unprimeable number, because it can be changed into a prime (57406241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072 + ... + 10768.

Almost surely, 2^57406240 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 57406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69651036).

57406240 is an abundant number, since it is smaller than the sum of its proper divisors (81895832).

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

57406240 is a wasteful number, since it uses less digits than its factorization.

57406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 57406240 is about 7576.6905704272. The cubic root of 57406240 is about 385.7622274983.

The spelling of 57406240 in words is "fifty-seven million, four hundred six thousand, two hundred forty".