214749600 has 144 divisors (see below), whose sum is σ = 752889312. Its totient is φ = 52853760.

The previous prime is 214749529. The next prime is 214749649. The reversal of 214749600 is 6947412.

It is a happy number.

It is a super-2 number, since 2×214749600² = 92234781400320000, which contains 22 as substring.

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, 27759 + ... + 34641.

It is an arithmetic number, because the mean of its divisors is an integer number (5228398).

Almost surely, 2^214749600 is an apocalyptic number.

214749600 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 214749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376444656).

214749600 is an abundant number, since it is smaller than the sum of its proper divisors (538139712).

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

214749600 is a wasteful number, since it uses less digits than its factorization.

214749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6919 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 214749600 is about 14654.3372419226. The cubic root of 214749600 is about 598.8399809272.

The spelling of 214749600 in words is "two hundred fourteen million, seven hundred forty-nine thousand, six hundred".