214568400 has 60 divisors (see below), whose sum is σ = 687337952. Its totient is φ = 57217920.

The previous prime is 214568399. The next prime is 214568401. The reversal of 214568400 is 4865412.

It is an interprime number because it is at equal distance from previous prime (214568399) and next prime (214568401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214568401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88204 + ... + 90603.

Almost surely, 2^214568400 is an apocalyptic number.

214568400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214568400 is an abundant number, since it is smaller than the sum of its proper divisors (472769552).

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

214568400 is a wasteful number, since it uses less digits than its factorization.

214568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178828 (or 178817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 214568400 is about 14648.1534672463. The cubic root of 214568400 is about 598.6715051177.

The spelling of 214568400 in words is "two hundred fourteen million, five hundred sixty-eight thousand, four hundred".