216734400 has 336 divisors, whose sum is σ = 822045600. Its totient is φ = 55480320.

The previous prime is 216734393. The next prime is 216734431. The reversal of 216734400 is 4437612.

216734400 is a `hidden beast` number, since 216 + 7 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1252714 + ... + 1252886.

Almost surely, 2^216734400 is an apocalyptic number.

216734400 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 216734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411022800).

216734400 is an abundant number, since it is smaller than the sum of its proper divisors (605311200).

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

216734400 is a wasteful number, since it uses less digits than its factorization.

216734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 216734400 is about 14721.9020510259. The cubic root of 216734400 is about 600.6792307857.

The spelling of 216734400 in words is "two hundred sixteen million, seven hundred thirty-four thousand, four hundred".