57414240 has 144 divisors (see below), whose sum is σ = 211066128. Its totient is φ = 14128128.

The previous prime is 57414223. The next prime is 57414241. The reversal of 57414240 is 4241475.

57414240 is a `hidden beast` number, since 5 + 7 + 414 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57414241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17187 + ... + 20253.

It is an arithmetic number, because the mean of its divisors is an integer number (1465737).

Almost surely, 2^57414240 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 57414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105533064).

57414240 is an abundant number, since it is smaller than the sum of its proper divisors (153651888).

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

57414240 is a wasteful number, since it uses less digits than its factorization.

57414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 57414240 is about 7577.2184870175. The cubic root of 57414240 is about 385.7801463081.

The spelling of 57414240 in words is "fifty-seven million, four hundred fourteen thousand, two hundred forty".