249213132 has 96 divisors (see below), whose sum is σ = 781885440. Its totient is φ = 67011840.

The previous prime is 249213103. The next prime is 249213193. The reversal of 249213132 is 231312942.

It is a happy number.

It is a super-2 number, since 2×249213132² = 124214370322498848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 249213096 and 249213105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3157 + ... + 22547.

It is an arithmetic number, because the mean of its divisors is an integer number (8144640).

Almost surely, 2^249213132 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 249213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390942720).

249213132 is an abundant number, since it is smaller than the sum of its proper divisors (532672308).

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

249213132 is a wasteful number, since it uses less digits than its factorization.

249213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19428 (or 19420 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 249213132 is about 15786.4857393911. The cubic root of 249213132 is about 629.2989026108.

The spelling of 249213132 in words is "two hundred forty-nine million, two hundred thirteen thousand, one hundred thirty-two".