416856132 has 360 divisors, whose sum is σ = 1441932800. Its totient is φ = 104781600.

The previous prime is 416856131. The next prime is 416856149. The reversal of 416856132 is 231658614.

It is a happy number.

416856132 is a `hidden beast` number, since 4 + 1 + 68 + 561 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (416856131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13446957 + ... + 13446987.

Almost surely, 2^416856132 is an apocalyptic number.

416856132 is a gapful number since it is divisible by the number (42) 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 416856132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720966400).

416856132 is an abundant number, since it is smaller than the sum of its proper divisors (1025076668).

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

416856132 is a wasteful number, since it uses less digits than its factorization.

416856132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 416856132 is about 20417.0549296415. The cubic root of 416856132 is about 747.0139833837.

The spelling of 416856132 in words is "four hundred sixteen million, eight hundred fifty-six thousand, one hundred thirty-two".