213399424 has 128 divisors (see below), whose sum is σ = 514422720. Its totient is φ = 86261760.

The previous prime is 213399413. The next prime is 213399449. The reversal of 213399424 is 424993312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359154 + ... + 1359310.

Almost surely, 2^213399424 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 213399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257211360).

213399424 is an abundant number, since it is smaller than the sum of its proper divisors (301023296).

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

213399424 is a wasteful number, since it uses less digits than its factorization.

213399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 213399424 is about 14608.1971509150. The cubic root of 213399424 is about 597.5823304674.

The spelling of 213399424 in words is "two hundred thirteen million, three hundred ninety-nine thousand, four hundred twenty-four".