216486432 has 150 divisors (see below), whose sum is σ = 676472643. Its totient is φ = 67917312.

The previous prime is 216486409. The next prime is 216486451. The reversal of 216486432 is 234684612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

216486432 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 8 + 643 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 208398096 + 8088336 = 14436^2 + 2844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10404.

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 an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 12734488 + ... + 12734504.

Almost surely, 2^216486432 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 216486432

216486432 is an abundant number, since it is smaller than the sum of its proper divisors (459986211).

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

216486432 is an frugal number, since it uses more digits than its factorization.

216486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 22 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 216486432 is about 14713.4779029297. The cubic root of 216486432 is about 600.4500623221.

The spelling of 216486432 in words is "two hundred sixteen million, four hundred eighty-six thousand, four hundred thirty-two".