214874400 has 288 divisors, whose sum is σ = 771700608. Its totient is φ = 51609600.

The previous prime is 214874393. The next prime is 214874411. The reversal of 214874400 is 4478412.

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

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, 2215152 + ... + 2215248.

It is an arithmetic number, because the mean of its divisors is an integer number (2679516).

Almost surely, 2^214874400 is an apocalyptic number.

214874400 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 214874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385850304).

214874400 is an abundant number, since it is smaller than the sum of its proper divisors (556826208).

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

214874400 is a wasteful number, since it uses less digits than its factorization.

214874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 214874400 is about 14658.5947484744. The cubic root of 214874400 is about 598.9559621397.

The spelling of 214874400 in words is "two hundred fourteen million, eight hundred seventy-four thousand, four hundred".