213602400 has 576 divisors, whose sum is σ = 899942400. Its totient is φ = 48384000.

The previous prime is 213602381. The next prime is 213602413. The reversal of 213602400 is 4206312.

It is a happy number.

213602400 is a `hidden beast` number, since 21 + 3 + 602 + 40 + 0 = 666.

213602400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6890385 + ... + 6890415.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^213602400 is an apocalyptic number.

213602400 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 213602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449971200).

213602400 is an abundant number, since it is smaller than the sum of its proper divisors (686340000).

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

213602400 is a wasteful number, since it uses less digits than its factorization.

213602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213602400 is about 14615.1428320082. The cubic root of 213602400 is about 597.7717349691.

Adding to 213602400 its reverse (4206312), we get a palindrome (217808712).

The spelling of 213602400 in words is "two hundred thirteen million, six hundred two thousand, four hundred".