213164400 has 120 divisors (see below), whose sum is σ = 701437744. Its totient is φ = 55296000.

The previous prime is 213164389. The next prime is 213164417. The reversal of 213164400 is 4461312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×213164400² = 90878122854720000, 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, 42000 + ... + 46800.

Almost surely, 2^213164400 is an apocalyptic number.

213164400 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 213164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350718872).

213164400 is an abundant number, since it is smaller than the sum of its proper divisors (488273344).

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

213164400 is a wasteful number, since it uses less digits than its factorization.

213164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 213164400 is about 14600.1506841539. The cubic root of 213164400 is about 597.3628706739.

The spelling of 213164400 in words is "two hundred thirteen million, one hundred sixty-four thousand, four hundred".