249288907392 has 640 divisors, whose sum is σ = 907427283840. Its totient is φ = 66312732672.

The previous prime is 249288907327. The next prime is 249288907433. The reversal of 249288907392 is 293709882942.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119676783 + ... + 119678865.

It is an arithmetic number, because the mean of its divisors is an integer number (1417855131).

Almost surely, 2^249288907392 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 249288907392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453713641920).

249288907392 is an abundant number, since it is smaller than the sum of its proper divisors (658138376448).

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

249288907392 is a wasteful number, since it uses less digits than its factorization.

249288907392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 249288907392 in words is "two hundred forty-nine billion, two hundred eighty-eight million, nine hundred seven thousand, three hundred ninety-two".