249516960 has 384 divisors, whose sum is σ = 1009096704. Its totient is φ = 50319360.

The previous prime is 249516919. The next prime is 249516979. The reversal of 249516960 is 69615942.

249516960 = T₄₅ + T₄₆ + ... + T₁₁₄₃.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589202 + ... + 1589358.

It is an arithmetic number, because the mean of its divisors is an integer number (2627856).

Almost surely, 2^249516960 is an apocalyptic number.

249516960 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 249516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504548352).

249516960 is an abundant number, since it is smaller than the sum of its proper divisors (759579744).

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

249516960 is a wasteful number, since it uses less digits than its factorization.

249516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 249516960 is about 15796.1058492275. The cubic root of 249516960 is about 629.5545351800.

The spelling of 249516960 in words is "two hundred forty-nine million, five hundred sixteen thousand, nine hundred sixty".