57406314 has 128 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 14376960.

The previous prime is 57406313. The next prime is 57406319. The reversal of 57406314 is 41360475.

57406314 is a modest number, since divided by 6314 gives 5740 as remainder.

It is not an unprimeable number, because it can be changed into a prime (57406313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083112 + ... + 1083164.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484).

Almost surely, 2^57406314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57406314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

57406314 is an abundant number, since it is smaller than the sum of its proper divisors (91519638).

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

57406314 is a wasteful number, since it uses less digits than its factorization.

57406314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57406314 is about 7576.6954538242. The cubic root of 57406314 is about 385.7623932550.

Adding to 57406314 its reverse (41360475), we get a palindrome (98766789).

The spelling of 57406314 in words is "fifty-seven million, four hundred six thousand, three hundred fourteen".