249264960 has 224 divisors, whose sum is σ = 924153600. Its totient is φ = 56899584.

The previous prime is 249264959. The next prime is 249264973. The reversal of 249264960 is 69462942.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 328902 + ... + 329658.

Almost surely, 2^249264960 is an apocalyptic number.

249264960 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 249264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462076800).

249264960 is an abundant number, since it is smaller than the sum of its proper divisors (674888640).

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

249264960 is an equidigital number, since it uses as much as digits as its factorization.

249264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 249264960 is about 15788.1271846917. The cubic root of 249264960 is about 629.3425239649.

The spelling of 249264960 in words is "two hundred forty-nine million, two hundred sixty-four thousand, nine hundred sixty".