416328264 has 144 divisors (see below), whose sum is σ = 1273343760. Its totient is φ = 121867200.

The previous prime is 416328259. The next prime is 416328281. The reversal of 416328264 is 462823614.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760839 + ... + 761385.

It is an arithmetic number, because the mean of its divisors is an integer number (8842665).

Almost surely, 2^416328264 is an apocalyptic number.

416328264 is a gapful number since it is divisible by the number (44) 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 416328264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636671880).

416328264 is an abundant number, since it is smaller than the sum of its proper divisors (857015496).

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

416328264 is a wasteful number, since it uses less digits than its factorization.

416328264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 594 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 416328264 is about 20404.1237008601. The cubic root of 416328264 is about 746.6985337519.

The spelling of 416328264 in words is "four hundred sixteen million, three hundred twenty-eight thousand, two hundred sixty-four".