213249904 has 80 divisors (see below), whose sum is σ = 510824448. Its totient is φ = 84151296.

The previous prime is 213249809. The next prime is 213249913. The reversal of 213249904 is 409942312.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 213249904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88297 + ... + 90679.

Almost surely, 2^213249904 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 213249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255412224).

213249904 is an abundant number, since it is smaller than the sum of its proper divisors (297574544).

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

213249904 is a wasteful number, since it uses less digits than its factorization.

213249904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 213249904 is about 14603.0785795325. The cubic root of 213249904 is about 597.4427309244.

The spelling of 213249904 in words is "two hundred thirteen million, two hundred forty-nine thousand, nine hundred four".