214056400 has 120 divisors (see below), whose sum is σ = 548000640. Its totient is φ = 80171520.

The previous prime is 214056397. The next prime is 214056421. The reversal of 214056400 is 4650412.

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 23 ways as a sum of consecutive naturals, for example, 487381 + ... + 487819.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2^214056400 is an apocalyptic number.

214056400 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 214056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

214056400 is an abundant number, since it is smaller than the sum of its proper divisors (333944240).

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

214056400 is a wasteful number, since it uses less digits than its factorization.

214056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 214056400 is about 14630.6664236459. Note that the first 3 decimals coincide. The cubic root of 214056400 is about 598.1949454461.

The spelling of 214056400 in words is "two hundred fourteen million, fifty-six thousand, four hundred".