213432000 has 112 divisors (see below), whose sum is σ = 704831712. Its totient is φ = 56908800.

The previous prime is 213431989. The next prime is 213432001. The reversal of 213432000 is 234312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19554 + ... + 28446.

Almost surely, 2^213432000 is an apocalyptic number.

213432000 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 213432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352415856).

213432000 is an abundant number, since it is smaller than the sum of its proper divisors (491399712).

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

213432000 is an equidigital number, since it uses as much as digits as its factorization.

213432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213432000 is about 14609.3120987951. The cubic root of 213432000 is about 597.6127364407.

Adding to 213432000 its reverse (234312), we get a palindrome (213666312).

The spelling of 213432000 in words is "two hundred thirteen million, four hundred thirty-two thousand".