213510400 has 108 divisors (see below), whose sum is σ = 536883172. Its totient is φ = 84049920.

The previous prime is 213510397. The next prime is 213510413. The reversal of 213510400 is 4015312.

It can be written as a sum of positive squares in 6 ways, for example, as 1982464 + 211527936 = 1408^2 + 14544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466972 + ... + 467428.

Almost surely, 2^213510400 is an apocalyptic number.

213510400 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 213510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268441586).

213510400 is an abundant number, since it is smaller than the sum of its proper divisors (323372772).

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

213510400 is an equidigital number, since it uses as much as digits as its factorization.

213510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 213510400 is about 14611.9950725423. The cubic root of 213510400 is about 597.6859012002.

Adding to 213510400 its reverse (4015312), we get a palindrome (217525712).

The spelling of 213510400 in words is "two hundred thirteen million, five hundred ten thousand, four hundred".