249716920320 has 936 divisors, whose sum is σ = 1031917382496. Its totient is φ = 55664050176.

The previous prime is 249716920309. The next prime is 249716920357. The reversal of 249716920320 is 23029617942.

249716920320 is a `hidden beast` number, since 249 + 7 + 1 + 69 + 20 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 388361919 + ... + 388362561.

It is an arithmetic number, because the mean of its divisors is an integer number (1102475836).

Almost surely, 2^249716920320 is an apocalyptic number.

249716920320 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 249716920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515958691248).

249716920320 is an abundant number, since it is smaller than the sum of its proper divisors (782200462176).

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

249716920320 is a wasteful number, since it uses less digits than its factorization.

249716920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 249716920320 in words is "two hundred forty-nine billion, seven hundred sixteen million, nine hundred twenty thousand, three hundred twenty".