216452880 has 240 divisors, whose sum is σ = 844481664. Its totient is φ = 48660480.

The previous prime is 216452867. The next prime is 216452911. The reversal of 216452880 is 88254612.

216452880 is a `hidden beast` number, since 2 + 1 + 645 + 2 + 8 + 8 + 0 = 666.

216452880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337360 + ... + 338000.

Almost surely, 2^216452880 is an apocalyptic number.

216452880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422240832).

216452880 is an abundant number, since it is smaller than the sum of its proper divisors (628028784).

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

216452880 is a wasteful number, since it uses less digits than its factorization.

216452880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 216452880 is about 14712.3376796483. The cubic root of 216452880 is about 600.4190406068.

The spelling of 216452880 in words is "two hundred sixteen million, four hundred fifty-two thousand, eight hundred eighty".