249976440 has 288 divisors, whose sum is σ = 973140480. Its totient is φ = 55448064.

The previous prime is 249976429. The next prime is 249976481. The reversal of 249976440 is 44679942.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652489 + ... + 652871.

It is an arithmetic number, because the mean of its divisors is an integer number (3378960).

Almost surely, 2^249976440 is an apocalyptic number.

249976440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249976440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486570240).

249976440 is an abundant number, since it is smaller than the sum of its proper divisors (723164040).

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

249976440 is a wasteful number, since it uses less digits than its factorization.

249976440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 249976440 is about 15810.6432506714. The cubic root of 249976440 is about 629.9407351658.

The spelling of 249976440 in words is "two hundred forty-nine million, nine hundred seventy-six thousand, four hundred forty".