249790464 has 288 divisors, whose sum is σ = 906480120. Its totient is φ = 64880640.

The previous prime is 249790459. The next prime is 249790481. The reversal of 249790464 is 464097942.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22708219 + ... + 22708229.

Almost surely, 2^249790464 is an apocalyptic number.

249790464 is a gapful number since it is divisible by the number (24) 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 249790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453240060).

249790464 is an abundant number, since it is smaller than the sum of its proper divisors (656689656).

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

249790464 is an equidigital number, since it uses as much as digits as its factorization.

249790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

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

The square root of 249790464 is about 15804.7608017331. The cubic root of 249790464 is about 629.7844765422.

The spelling of 249790464 in words is "two hundred forty-nine million, seven hundred ninety thousand, four hundred sixty-four".