216056400 has 360 divisors, whose sum is σ = 849677760. Its totient is φ = 45957120.

The previous prime is 216056333. The next prime is 216056437. The reversal of 216056400 is 4650612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2427556 + ... + 2427644.

It is an arithmetic number, because the mean of its divisors is an integer number (2360216).

Almost surely, 2^216056400 is an apocalyptic number.

216056400 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 216056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424838880).

216056400 is an abundant number, since it is smaller than the sum of its proper divisors (633621360).

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

216056400 is a wasteful number, since it uses less digits than its factorization.

216056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 216056400 is about 14698.8570984278. The cubic root of 216056400 is about 600.0522176776.

The spelling of 216056400 in words is "two hundred sixteen million, fifty-six thousand, four hundred".