416333376 has 84 divisors (see below), whose sum is σ = 1197358032. Its totient is φ = 138311424.

The previous prime is 416333371. The next prime is 416333399. The reversal of 416333376 is 673333614.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416333376.

It is not an unprimeable number, because it can be changed into a prime (416333371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198831 + ... + 200913.

Almost surely, 2^416333376 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 416333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598679016).

416333376 is an abundant number, since it is smaller than the sum of its proper divisors (781024656).

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

416333376 is a wasteful number, since it uses less digits than its factorization.

416333376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 416333376 is about 20404.2489692711. The cubic root of 416333376 is about 746.7015899198.

The spelling of 416333376 in words is "four hundred sixteen million, three hundred thirty-three thousand, three hundred seventy-six".