214342800 has 480 divisors, whose sum is σ = 885657600. Its totient is φ = 43130880.

The previous prime is 214342787. The next prime is 214342829. The reversal of 214342800 is 8243412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2713161 + ... + 2713239.

It is an arithmetic number, because the mean of its divisors is an integer number (1845120).

Almost surely, 2^214342800 is an apocalyptic number.

214342800 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 214342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442828800).

214342800 is an abundant number, since it is smaller than the sum of its proper divisors (671314800).

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

214342800 is a wasteful number, since it uses less digits than its factorization.

214342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214342800 is about 14640.4508127311. The cubic root of 214342800 is about 598.4616145436.

The spelling of 214342800 in words is "two hundred fourteen million, three hundred forty-two thousand, eight hundred".