249380631360 has 1344 divisors, whose sum is σ = 1064765399040. Its totient is φ = 54751334400.

The previous prime is 249380631359. The next prime is 249380631361. The reversal of 249380631360 is 63136083942.

249380631360 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 8 + 0 + 631 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (249380631359) and next prime (249380631361).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249380631361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1651527285 + ... + 1651527435.

It is an arithmetic number, because the mean of its divisors is an integer number (792236160).

Almost surely, 2^249380631360 is an apocalyptic number.

249380631360 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 249380631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532382699520).

249380631360 is an abundant number, since it is smaller than the sum of its proper divisors (815384767680).

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

249380631360 is a wasteful number, since it uses less digits than its factorization.

249380631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 249380631360 in words is "two hundred forty-nine billion, three hundred eighty million, six hundred thirty-one thousand, three hundred sixty".