249384960 has 416 divisors, whose sum is σ = 990783360. Its totient is φ = 58982400.

The previous prime is 249384953. The next prime is 249384973. The reversal of 249384960 is 69483942.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082540 + ... + 6082580.

Almost surely, 2^249384960 is an apocalyptic number.

249384960 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 249384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495391680).

249384960 is an abundant number, since it is smaller than the sum of its proper divisors (741398400).

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

249384960 is a wasteful number, since it uses less digits than its factorization.

249384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 249384960 is about 15791.9270515032. The cubic root of 249384960 is about 629.4434994986.

The spelling of 249384960 in words is "two hundred forty-nine million, three hundred eighty-four thousand, nine hundred sixty".