214100400 has 60 divisors (see below), whose sum is σ = 685838792. Its totient is φ = 57093120.

The previous prime is 214100371. The next prime is 214100407. The reversal of 214100400 is 4001412.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (214100407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 88009 + ... + 90408.

Almost surely, 2^214100400 is an apocalyptic number.

214100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100400 is an abundant number, since it is smaller than the sum of its proper divisors (471738392).

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

214100400 is a wasteful number, since it uses less digits than its factorization.

214100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178438 (or 178427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214100400 is about 14632.1700372843. The cubic root of 214100400 is about 598.2359296203.

Adding to 214100400 its reverse (4001412), we get a palindrome (218101812).

The spelling of 214100400 in words is "two hundred fourteen million, one hundred thousand, four hundred".