214402752 has 84 divisors (see below), whose sum is σ = 623087400. Its totient is φ = 70474752.

The previous prime is 214402729. The next prime is 214402763. The reversal of 214402752 is 257204412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39499 + ... + 44597.

Almost surely, 2^214402752 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 214402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311543700).

214402752 is an abundant number, since it is smaller than the sum of its proper divisors (408684648).

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

214402752 is a wasteful number, since it uses less digits than its factorization.

214402752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214402752 is about 14642.4981475157. The cubic root of 214402752 is about 598.5174062102.

The spelling of 214402752 in words is "two hundred fourteen million, four hundred two thousand, seven hundred fifty-two".