213666400 has 72 divisors (see below), whose sum is σ = 549105480. Its totient is φ = 80962560.

The previous prime is 213666391. The next prime is 213666449. The reversal of 213666400 is 4666312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8172 + ... + 22228.

It is an arithmetic number, because the mean of its divisors is an integer number (7626465).

Almost surely, 2^213666400 is an apocalyptic number.

213666400 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 213666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274552740).

213666400 is an abundant number, since it is smaller than the sum of its proper divisors (335439080).

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

213666400 is a wasteful number, since it uses less digits than its factorization.

213666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 213666400 is about 14617.3321779318. The cubic root of 213666400 is about 597.8314308819.

The spelling of 213666400 in words is "two hundred thirteen million, six hundred sixty-six thousand, four hundred".