213210432 has 84 divisors (see below), whose sum is σ = 615756960. Its totient is φ = 70532352.

The previous prime is 213210427. The next prime is 213210449. The reversal of 213210432 is 234012312.

213210432 is a `hidden beast` number, since 21 + 3 + 210 + 432 = 666.

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

It is a nialpdrome in base 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, 78733 + ... + 81395.

It is an arithmetic number, because the mean of its divisors is an integer number (7330440).

Almost surely, 2^213210432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307878480).

213210432 is an abundant number, since it is smaller than the sum of its proper divisors (402546528).

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

213210432 is a wasteful number, since it uses less digits than its factorization.

213210432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2807 counting only the distinct ones).

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

The square root of 213210432 is about 14601.7270211438. The cubic root of 213210432 is about 597.4058669537.

Adding to 213210432 its reverse (234012312), we get a palindrome (447222744).

The spelling of 213210432 in words is "two hundred thirteen million, two hundred ten thousand, four hundred thirty-two".