249987968 has 48 divisors (see below), whose sum is σ = 516144480. Its totient is φ = 120480000.

The previous prime is 249987931. The next prime is 249988007. The reversal of 249987968 is 869789942.

249987968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 249987968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 995843 + ... + 996093.

It is an arithmetic number, because the mean of its divisors is an integer number (10753010).

Almost surely, 2^249987968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258072240).

249987968 is an abundant number, since it is smaller than the sum of its proper divisors (266156512).

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

249987968 is an frugal number, since it uses more digits than its factorization.

249987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 284 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 62.

The square root of 249987968 is about 15811.0078110157. The cubic root of 249987968 is about 629.9504185386.

Multiplying 249987968 by its sum of digits (62), we get a square (15499254016 = 124496²).

249987968 divided by its sum of digits (62) gives a square (4032064 = 2008²).

The spelling of 249987968 in words is "two hundred forty-nine million, nine hundred eighty-seven thousand, nine hundred sixty-eight".