249840480 has 96 divisors (see below), whose sum is σ = 798190848. Its totient is φ = 65676800.

The previous prime is 249840473. The next prime is 249840509. The reversal of 249840480 is 84048942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30415 + ... + 37745.

It is an arithmetic number, because the mean of its divisors is an integer number (8314488).

Almost surely, 2^249840480 is an apocalyptic number.

249840480 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 249840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399095424).

249840480 is an abundant number, since it is smaller than the sum of its proper divisors (548350368).

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

249840480 is a wasteful number, since it uses less digits than its factorization.

249840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 249840480 is about 15806.3430305685. The cubic root of 249840480 is about 629.8265080350.

The spelling of 249840480 in words is "two hundred forty-nine million, eight hundred forty thousand, four hundred eighty".