416362056 has 64 divisors (see below), whose sum is σ = 1154822400. Its totient is φ = 124027200.

The previous prime is 416362039. The next prime is 416362057. The reversal of 416362056 is 650263614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (416362057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 28941.

It is an arithmetic number, because the mean of its divisors is an integer number (18044100).

Almost surely, 2^416362056 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 416362056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577411200).

416362056 is an abundant number, since it is smaller than the sum of its proper divisors (738460344).

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

416362056 is a wasteful number, since it uses less digits than its factorization.

416362056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 416362056 is about 20404.9517519645. The cubic root of 416362056 is about 746.7187355625.

It can be divided in two parts, 4 and 16362056, that added together give a triangular number (16362060 = T₅₇₂₀).

The spelling of 416362056 in words is "four hundred sixteen million, three hundred sixty-two thousand, fifty-six".