249972480 has 180 divisors, whose sum is σ = 894818232. Its totient is φ = 66631680.

The previous prime is 249972421. The next prime is 249972517. The reversal of 249972480 is 84279942.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102475 + ... + 104885.

Almost surely, 2^249972480 is an apocalyptic number.

249972480 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 249972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447409116).

249972480 is an abundant number, since it is smaller than the sum of its proper divisors (644845752).

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

249972480 is an equidigital number, since it uses as much as digits as its factorization.

249972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 249972480 is about 15810.5180180790. The cubic root of 249972480 is about 629.9374087477.

The spelling of 249972480 in words is "two hundred forty-nine million, nine hundred seventy-two thousand, four hundred eighty".