249741120 has 224 divisors, whose sum is σ = 833932800. Its totient is φ = 63258624.

The previous prime is 249741109. The next prime is 249741133. The reversal of 249741120 is 21147942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806036 + ... + 2806124.

Almost surely, 2^249741120 is an apocalyptic number.

249741120 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 249741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416966400).

249741120 is an abundant number, since it is smaller than the sum of its proper divisors (584191680).

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

249741120 is a wasteful number, since it uses less digits than its factorization.

249741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 249741120 is about 15803.1996760150. The cubic root of 249741120 is about 629.7430042735.

The spelling of 249741120 in words is "two hundred forty-nine million, seven hundred forty-one thousand, one hundred twenty".