216462456 has 96 divisors (see below), whose sum is σ = 694861440. Its totient is φ = 61842528.

The previous prime is 216462371. The next prime is 216462487. The reversal of 216462456 is 654264612.

216462456 is a `hidden beast` number, since 2 + 1 + 646 + 2 + 4 + 5 + 6 = 666.

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 216462456.

It is a congruent number.

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, 5655 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (7238140).

Almost surely, 2^216462456 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 216462456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347430720).

216462456 is an abundant number, since it is smaller than the sum of its proper divisors (478398984).

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

216462456 is a wasteful number, since it uses less digits than its factorization.

216462456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15935 (or 15919 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 216462456 is about 14712.6631171926. The cubic root of 216462456 is about 600.4278947709.

It can be divided in two parts, 2164 and 62456, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 216462456 in words is "two hundred sixteen million, four hundred sixty-two thousand, four hundred fifty-six".