249325464960 has 1792 divisors, whose sum is σ = 1088941734720. Its totient is φ = 53747712000.

The previous prime is 249325464953. The next prime is 249325464977. The reversal of 249325464960 is 69464523942.

249325464960 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 2 + 546 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 249325464897 and 249325464906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2468568910 + ... + 2468569010.

Almost surely, 2^249325464960 is an apocalyptic number.

249325464960 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 249325464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544470867360).

249325464960 is an abundant number, since it is smaller than the sum of its proper divisors (839616269760).

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

249325464960 is a wasteful number, since it uses less digits than its factorization.

249325464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 249325464960 in words is "two hundred forty-nine billion, three hundred twenty-five million, four hundred sixty-four thousand, nine hundred sixty".