213926400 has 240 divisors, whose sum is σ = 786482400. Its totient is φ = 56954880.

The previous prime is 213926399. The next prime is 213926407. The reversal of 213926400 is 4629312.

213926400 is a `hidden beast` number, since 2 + 13 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213926407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345291 + ... + 345909.

It is an arithmetic number, because the mean of its divisors is an integer number (3277010).

Almost surely, 2^213926400 is an apocalyptic number.

213926400 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 213926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393241200).

213926400 is an abundant number, since it is smaller than the sum of its proper divisors (572556000).

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

213926400 is an equidigital number, since it uses as much as digits as its factorization.

213926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 213926400 is about 14626.2230257849. The cubic root of 213926400 is about 598.0738230208.

The spelling of 213926400 in words is "two hundred thirteen million, nine hundred twenty-six thousand, four hundred".