416473344 has 432 divisors, whose sum is σ = 1530547200. Its totient is φ = 108380160.

The previous prime is 416473307. The next prime is 416473357. The reversal of 416473344 is 443374614.

416473344 is a `hidden beast` number, since 4 + 1 + 647 + 3 + 3 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 416473299 and 416473308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434609 + ... + 13434639.

Almost surely, 2^416473344 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 416473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

416473344 is an abundant number, since it is smaller than the sum of its proper divisors (1114073856).

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

416473344 is a wasteful number, since it uses less digits than its factorization.

416473344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 416473344 is about 20407.6785548969. The cubic root of 416473344 is about 746.7852589409.

The spelling of 416473344 in words is "four hundred sixteen million, four hundred seventy-three thousand, three hundred forty-four".