216572400 has 240 divisors, whose sum is σ = 841374720. Its totient is φ = 52473600.

The previous prime is 216572383. The next prime is 216572413. The reversal of 216572400 is 4275612.

216572400 = 2586² + 2587² + ... + 2617².

216572400 is a `hidden beast` number, since 2 + 1 + 657 + 2 + 4 + 0 + 0 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117889 + ... + 119711.

It is an arithmetic number, because the mean of its divisors is an integer number (3505728).

Almost surely, 2^216572400 is an apocalyptic number.

216572400 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 216572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687360).

216572400 is an abundant number, since it is smaller than the sum of its proper divisors (624802320).

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

216572400 is a wasteful number, since it uses less digits than its factorization.

216572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 216572400 is about 14716.3990160637. The cubic root of 216572400 is about 600.5295325214.

The spelling of 216572400 in words is "two hundred sixteen million, five hundred seventy-two thousand, four hundred".