249381120 has 144 divisors (see below), whose sum is σ = 805597632. Its totient is φ = 65740800.

The previous prime is 249381113. The next prime is 249381127. The reversal of 249381120 is 21183942.

It is an interprime number because it is at equal distance from previous prime (249381113) and next prime (249381127).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (249381127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387519 + ... + 388161.

It is an arithmetic number, because the mean of its divisors is an integer number (5594428).

Almost surely, 2^249381120 is an apocalyptic number.

249381120 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 249381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402798816).

249381120 is an abundant number, since it is smaller than the sum of its proper divisors (556216512).

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

249381120 is a wasteful number, since it uses less digits than its factorization.

249381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 249381120 is about 15791.8054699265. The cubic root of 249381120 is about 629.4402687832.

The spelling of 249381120 in words is "two hundred forty-nine million, three hundred eighty-one thousand, one hundred twenty".