213433488 has 80 divisors (see below), whose sum is σ = 614424960. Its totient is φ = 70936704.

The previous prime is 213433483. The next prime is 213433499. The reversal of 213433488 is 884334312.

It is a happy number.

213433488 is a `hidden beast` number, since 213 + 433 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×213433488² = 91107707599692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213433483) 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, 240181 + ... + 241067.

It is an arithmetic number, because the mean of its divisors is an integer number (7680312).

Almost surely, 2^213433488 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 213433488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307212480).

213433488 is an abundant number, since it is smaller than the sum of its proper divisors (400991472).

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

213433488 is a wasteful number, since it uses less digits than its factorization.

213433488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 213433488 is about 14609.3630251288. The cubic root of 213433488 is about 597.6141252447.

The spelling of 213433488 in words is "two hundred thirteen million, four hundred thirty-three thousand, four hundred eighty-eight".