57949344 has 120 divisors (see below), whose sum is σ = 173194560. Its totient is φ = 19004544.

The previous prime is 57949343. The next prime is 57949357. The reversal of 57949344 is 44394975.

It is a happy number.

57949344 is a `hidden beast` number, since 579 + 49 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57949344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57949343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204627 + ... + 204909.

It is an arithmetic number, because the mean of its divisors is an integer number (1443288).

Almost surely, 2^57949344 is an apocalyptic number.

57949344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57949344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86597280).

57949344 is an abundant number, since it is smaller than the sum of its proper divisors (115245216).

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

57949344 is a wasteful number, since it uses less digits than its factorization.

57949344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 57949344 is about 7612.4466500594. The cubic root of 57949344 is about 386.9749397870.

The spelling of 57949344 in words is "fifty-seven million, nine hundred forty-nine thousand, three hundred forty-four".