249945696 has 576 divisors, whose sum is σ = 1039772160. Its totient is φ = 56401920.

The previous prime is 249945673. The next prime is 249945697. The reversal of 249945696 is 696549942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249945697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14702680 + ... + 14702696.

It is an arithmetic number, because the mean of its divisors is an integer number (1805160).

Almost surely, 2^249945696 is an apocalyptic number.

249945696 is a gapful number since it is divisible by the number (26) 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 249945696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519886080).

249945696 is an abundant number, since it is smaller than the sum of its proper divisors (789826464).

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

249945696 is a wasteful number, since it uses less digits than its factorization.

249945696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 249945696 is about 15809.6709643180. The cubic root of 249945696 is about 629.9149091427.

The spelling of 249945696 in words is "two hundred forty-nine million, nine hundred forty-five thousand, six hundred ninety-six".