216774432 has 108 divisors (see below), whose sum is σ = 717144246. Its totient is φ = 61931520.

The previous prime is 216774409. The next prime is 216774433. The reversal of 216774432 is 234477612.

216774432 is a `hidden beast` number, since 216 + 7 + 7 + 4 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160883856 + 55890576 = 12684^2 + 7476^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216774433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6432 + ... + 21792.

Almost surely, 2^216774432 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 216774432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358572123).

216774432 is an abundant number, since it is smaller than the sum of its proper divisors (500369814).

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

216774432 is a wasteful number, since it uses less digits than its factorization.

216774432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15391 (or 15373 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 216774432 is about 14723.2615951765. The cubic root of 216774432 is about 600.7162113952.

The spelling of 216774432 in words is "two hundred sixteen million, seven hundred seventy-four thousand, four hundred thirty-two".