213353400 has 192 divisors, whose sum is σ = 754639200. Its totient is φ = 49397760.

The previous prime is 213353333. The next prime is 213353407. The reversal of 213353400 is 4353312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213353407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131796 + ... + 133404.

Almost surely, 2^213353400 is an apocalyptic number.

213353400 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 213353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377319600).

213353400 is an abundant number, since it is smaller than the sum of its proper divisors (541285800).

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

213353400 is a wasteful number, since it uses less digits than its factorization.

213353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 213353400 is about 14606.6217860257. The cubic root of 213353400 is about 597.5393670484.

The spelling of 213353400 in words is "two hundred thirteen million, three hundred fifty-three thousand, four hundred".