214898400 has 144 divisors (see below), whose sum is σ = 777294000. Its totient is φ = 57300480.

The previous prime is 214898399. The next prime is 214898441. The reversal of 214898400 is 4898412.

214898400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16626 + ... + 26574.

It is an arithmetic number, because the mean of its divisors is an integer number (5397875).

Almost surely, 2^214898400 is an apocalyptic number.

214898400 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 214898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388647000).

214898400 is an abundant number, since it is smaller than the sum of its proper divisors (562395600).

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

214898400 is a wasteful number, since it uses less digits than its factorization.

214898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214898400 is about 14659.4133579758. The cubic root of 214898400 is about 598.9782610702.

The spelling of 214898400 in words is "two hundred fourteen million, eight hundred ninety-eight thousand, four hundred".