214978752 has 112 divisors (see below), whose sum is σ = 645688320. Its totient is φ = 70108416.

The previous prime is 214978747. The next prime is 214978781. The reversal of 214978752 is 257879412.

It is a happy number.

214978752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214978752² = 92431727622955008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214978698 and 214978707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79893 + ... + 82539.

Almost surely, 2^214978752 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 214978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322844160).

214978752 is an abundant number, since it is smaller than the sum of its proper divisors (430709568).

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

214978752 is a wasteful number, since it uses less digits than its factorization.

214978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2699 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 214978752 is about 14662.1537299266. The cubic root of 214978752 is about 599.0529058076.

The spelling of 214978752 in words is "two hundred fourteen million, nine hundred seventy-eight thousand, seven hundred fifty-two".