249585120 has 144 divisors (see below), whose sum is σ = 855861552. Its totient is φ = 66232320.

The previous prime is 249585101. The next prime is 249585139. The reversal of 249585120 is 21585942.

249585120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249585101) and next prime (249585139).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508075 + ... + 508565.

It is an arithmetic number, because the mean of its divisors is an integer number (5943483).

Almost surely, 2^249585120 is an apocalyptic number.

249585120 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 249585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427930776).

249585120 is an abundant number, since it is smaller than the sum of its proper divisors (606276432).

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

249585120 is a wasteful number, since it uses less digits than its factorization.

249585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 249585120 is about 15798.2631956807. The cubic root of 249585120 is about 629.6118546377.

The spelling of 249585120 in words is "two hundred forty-nine million, five hundred eighty-five thousand, one hundred twenty".