416913264 has 160 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 134334720.

The previous prime is 416913229. The next prime is 416913269. The reversal of 416913264 is 462319614.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (416913269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999307 + ... + 2999445.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^416913264 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 416913264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

416913264 is an abundant number, since it is smaller than the sum of its proper divisors (820507536).

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

416913264 is a wasteful number, since it uses less digits than its factorization.

416913264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 416913264 is about 20418.4540061191. The cubic root of 416913264 is about 747.0481090288.

The spelling of 416913264 in words is "four hundred sixteen million, nine hundred thirteen thousand, two hundred sixty-four".