249147360 has 576 divisors, whose sum is σ = 1116944640. Its totient is φ = 51287040.

The previous prime is 249147347. The next prime is 249147377. The reversal of 249147360 is 63741942.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328427 + ... + 2328533.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^249147360 is an apocalyptic number.

249147360 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 249147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558472320).

249147360 is an abundant number, since it is smaller than the sum of its proper divisors (867797280).

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

249147360 is a wasteful number, since it uses less digits than its factorization.

249147360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 249147360 is about 15784.4024277133. The cubic root of 249147360 is about 629.2435364952.

The spelling of 249147360 in words is "two hundred forty-nine million, one hundred forty-seven thousand, three hundred sixty".