414228264 has 16 divisors (see below), whose sum is σ = 1035570720. Its totient is φ = 138076080.

The previous prime is 414228233. The next prime is 414228277. The reversal of 414228264 is 462822414.

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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8629732 + ... + 8629779.

It is an arithmetic number, because the mean of its divisors is an integer number (64723170).

Almost surely, 2^414228264 is an apocalyptic number.

It is an amenable number.

414228264 is an abundant number, since it is smaller than the sum of its proper divisors (621342456).

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

414228264 is a wasteful number, since it uses less digits than its factorization.

414228264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17259520 (or 17259516 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 414228264 is about 20352.5984581822. The cubic root of 414228264 is about 745.4409437174.

The spelling of 414228264 in words is "four hundred fourteen million, two hundred twenty-eight thousand, two hundred sixty-four".