416645376 has 144 divisors (see below), whose sum is σ = 1334323200. Its totient is φ = 112748544.

The previous prime is 416645323. The next prime is 416645387. The reversal of 416645376 is 673546614.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100105 + ... + 104183.

Almost surely, 2^416645376 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 416645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667161600).

416645376 is an abundant number, since it is smaller than the sum of its proper divisors (917677824).

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

416645376 is a wasteful number, since it uses less digits than its factorization.

416645376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4110 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 416645376 is about 20411.8930038348. The cubic root of 416645376 is about 746.8880692636. Note that the first 3 decimals are identical.

The spelling of 416645376 in words is "four hundred sixteen million, six hundred forty-five thousand, three hundred seventy-six".