213452800 has 144 divisors (see below), whose sum is σ = 578869200. Its totient is φ = 77414400.

The previous prime is 213452797. The next prime is 213452807. The reversal of 213452800 is 8254312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213452807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563011 + ... + 563389.

It is an arithmetic number, because the mean of its divisors is an integer number (4019925).

Almost surely, 2^213452800 is an apocalyptic number.

213452800 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 213452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

213452800 is an abundant number, since it is smaller than the sum of its proper divisors (365416400).

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

213452800 is a wasteful number, since it uses less digits than its factorization.

213452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 213452800 is about 14610.0239561747. The cubic root of 213452800 is about 597.6321492453.

The spelling of 213452800 in words is "two hundred thirteen million, four hundred fifty-two thousand, eight hundred".