249399360 has 336 divisors, whose sum is σ = 998524800. Its totient is φ = 55959552.

The previous prime is 249399347. The next prime is 249399389. The reversal of 249399360 is 63993942.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794171 + ... + 1794309.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^249399360 is an apocalyptic number.

249399360 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 249399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499262400).

249399360 is an abundant number, since it is smaller than the sum of its proper divisors (749125440).

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

249399360 is a wasteful number, since it uses less digits than its factorization.

249399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 249399360 is about 15792.3829740796. The cubic root of 249399360 is about 629.4556143857.

The spelling of 249399360 in words is "two hundred forty-nine million, three hundred ninety-nine thousand, three hundred sixty".