249369120 has 576 divisors, whose sum is σ = 1149168384. Its totient is φ = 47554560.

The previous prime is 249369119. The next prime is 249369137. The reversal of 249369120 is 21963942.

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 95 ways as a sum of consecutive naturals, for example, 1441354 + ... + 1441526.

It is an arithmetic number, because the mean of its divisors is an integer number (1995084).

Almost surely, 2^249369120 is an apocalyptic number.

249369120 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 249369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574584192).

249369120 is an abundant number, since it is smaller than the sum of its proper divisors (899799264).

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

249369120 is a wasteful number, since it uses less digits than its factorization.

249369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 249369120 is about 15791.4255214658. The cubic root of 249369120 is about 629.4301725840.

The spelling of 249369120 in words is "two hundred forty-nine million, three hundred sixty-nine thousand, one hundred twenty".