216874800 has 240 divisors, whose sum is σ = 791556480. Its totient is φ = 56367360.

The previous prime is 216874771. The next prime is 216874813. The reversal of 216874800 is 8478612.

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, 464167 + ... + 464633.

It is an arithmetic number, because the mean of its divisors is an integer number (3298152).

Almost surely, 2^216874800 is an apocalyptic number.

216874800 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 216874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395778240).

216874800 is an abundant number, since it is smaller than the sum of its proper divisors (574681680).

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

216874800 is a wasteful number, since it uses less digits than its factorization.

216874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 216874800 is about 14726.6696846232. The cubic root of 216874800 is about 600.8089089538.

The spelling of 216874800 in words is "two hundred sixteen million, eight hundred seventy-four thousand, eight hundred".