214452264 has 64 divisors (see below), whose sum is σ = 583934400. Its totient is φ = 65235456.

The previous prime is 214452233. The next prime is 214452269. The reversal of 214452264 is 462254412.

It is not an unprimeable number, because it can be changed into a prime (214452269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23907 + ... + 31629.

It is an arithmetic number, because the mean of its divisors is an integer number (9123975).

Almost surely, 2^214452264 is an apocalyptic number.

214452264 is a gapful number since it is divisible by the number (24) 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 214452264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291967200).

214452264 is an abundant number, since it is smaller than the sum of its proper divisors (369482136).

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

214452264 is a wasteful number, since it uses less digits than its factorization.

214452264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7830 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 214452264 is about 14644.1887450278. The cubic root of 214452264 is about 598.5634745135.

The spelling of 214452264 in words is "two hundred fourteen million, four hundred fifty-two thousand, two hundred sixty-four".