249285792 has 96 divisors (see below), whose sum is σ = 765338112. Its totient is φ = 69560064.

The previous prime is 249285779. The next prime is 249285793. The reversal of 249285792 is 297582942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (249285793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24583 + ... + 33209.

It is an arithmetic number, because the mean of its divisors is an integer number (7972272).

Almost surely, 2^249285792 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 249285792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382669056).

249285792 is an abundant number, since it is smaller than the sum of its proper divisors (516052320).

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

249285792 is a wasteful number, since it uses less digits than its factorization.

249285792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8682 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 249285792 is about 15788.7869071693. The cubic root of 249285792 is about 629.3600556418.

The spelling of 249285792 in words is "two hundred forty-nine million, two hundred eighty-five thousand, seven hundred ninety-two".