214636400 has 60 divisors (see below), whose sum is σ = 562554024. Its totient is φ = 78048000.

The previous prime is 214636399. The next prime is 214636439. The reversal of 214636400 is 4636412.

214636400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214636400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19991 + ... + 28790.

Almost surely, 2^214636400 is an apocalyptic number.

214636400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214636400 is an abundant number, since it is smaller than the sum of its proper divisors (347917624).

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

214636400 is a wasteful number, since it uses less digits than its factorization.

214636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48810 (or 48799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 214636400 is about 14650.4743950495. The cubic root of 214636400 is about 598.7347411496.

The spelling of 214636400 in words is "two hundred fourteen million, six hundred thirty-six thousand, four hundred".