214296264 has 96 divisors (see below), whose sum is σ = 714342720. Its totient is φ = 56515968.

The previous prime is 214296259. The next prime is 214296301. The reversal of 214296264 is 462692412.

214296264 is a `hidden beast` number, since 2 + 1 + 4 + 29 + 626 + 4 = 666.

214296264 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9802 + ... + 22905.

It is an arithmetic number, because the mean of its divisors is an integer number (7441070).

Almost surely, 2^214296264 is an apocalyptic number.

214296264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214296264 is an abundant number, since it is smaller than the sum of its proper divisors (500046456).

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

214296264 is a wasteful number, since it uses less digits than its factorization.

214296264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32739 (or 32732 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 214296264 is about 14638.8614311360. The cubic root of 214296264 is about 598.4183007095.

The spelling of 214296264 in words is "two hundred fourteen million, two hundred ninety-six thousand, two hundred sixty-four".