57046416 has 120 divisors (see below), whose sum is σ = 174340032. Its totient is φ = 15744000.

The previous prime is 57046411. The next prime is 57046459. The reversal of 57046416 is 61464075.

57046416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57046411) 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 23 ways as a sum of consecutive naturals, for example, 564766 + ... + 564866.

Almost surely, 2^57046416 is an apocalyptic number.

57046416 is a gapful number since it is divisible by the number (56) 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 57046416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87170016).

57046416 is an abundant number, since it is smaller than the sum of its proper divisors (117293616).

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

57046416 is a wasteful number, since it uses less digits than its factorization.

57046416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57046416 is about 7552.9077844232. The cubic root of 57046416 is about 384.9545479597.

The spelling of 57046416 in words is "fifty-seven million, forty-six thousand, four hundred sixteen".