214653456 has 80 divisors (see below), whose sum is σ = 621001920. Its totient is φ = 70986240.

The previous prime is 214653451. The next prime is 214653473. The reversal of 214653456 is 654356412.

It is a super-2 number, since 2×214653456² = 92152212345487872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214653456.

It is not an unprimeable number, because it can be changed into a prime (214653451) 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, 54696 + ... + 58488.

It is an arithmetic number, because the mean of its divisors is an integer number (7762524).

Almost surely, 2^214653456 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 214653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310500960).

214653456 is an abundant number, since it is smaller than the sum of its proper divisors (406348464).

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

214653456 is a wasteful number, since it uses less digits than its factorization.

214653456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3929 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 214653456 is about 14651.0564806774. The cubic root of 214653456 is about 598.7506001392.

The spelling of 214653456 in words is "two hundred fourteen million, six hundred fifty-three thousand, four hundred fifty-six".