214288800 has 144 divisors (see below), whose sum is σ = 761013792. Its totient is φ = 51942400.

The previous prime is 214288759. The next prime is 214288813. The reversal of 214288800 is 8882412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22342 + ... + 30458.

It is an arithmetic number, because the mean of its divisors is an integer number (5284818).

Almost surely, 2^214288800 is an apocalyptic number.

214288800 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 214288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380506896).

214288800 is an abundant number, since it is smaller than the sum of its proper divisors (546724992).

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

214288800 is a wasteful number, since it uses less digits than its factorization.

214288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 214288800 is about 14638.6064910564. The cubic root of 214288800 is about 598.4113529355.

The spelling of 214288800 in words is "two hundred fourteen million, two hundred eighty-eight thousand, eight hundred".