213292800 has 486 divisors, whose sum is σ = 911047592. Its totient is φ = 46632960.

The previous prime is 213292799. The next prime is 213292813. The reversal of 213292800 is 8292312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9273589 + ... + 9273611.

Almost surely, 2^213292800 is an apocalyptic number.

213292800 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 213292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455523796).

213292800 is an abundant number, since it is smaller than the sum of its proper divisors (697754792).

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

213292800 is a wasteful number, since it uses less digits than its factorization.

213292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 213292800 is about 14604.5472370765. The cubic root of 213292800 is about 597.4827875039.

The spelling of 213292800 in words is "two hundred thirteen million, two hundred ninety-two thousand, eight hundred".