57210440 has 144 divisors (see below), whose sum is σ = 160640820. Its totient is φ = 18278400.

The previous prime is 57210437. The next prime is 57210449. The reversal of 57210440 is 4401275.

57210440 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 6 ways, for example, as 53202436 + 4008004 = 7294^2 + 2002^2 .

It is not an unprimeable number, because it can be changed into a prime (57210449) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 566390 + ... + 566490.

Almost surely, 2^57210440 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 57210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80320410).

57210440 is an abundant number, since it is smaller than the sum of its proper divisors (103430380).

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

57210440 is a wasteful number, since it uses less digits than its factorization.

57210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 57210440 is about 7563.7583250657. The cubic root of 57210440 is about 385.3231446749.

The spelling of 57210440 in words is "fifty-seven million, two hundred ten thousand, four hundred forty".