249664896 has 128 divisors (see below), whose sum is σ = 793682400. Its totient is φ = 76806144.

The previous prime is 249664889. The next prime is 249664901. The reversal of 249664896 is 698466942.

249664896 is a `hidden beast` number, since 2 + 496 + 64 + 8 + 96 = 666.

249664896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42150 + ... + 47706.

Almost surely, 2^249664896 is an apocalyptic number.

249664896 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 249664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396841200).

249664896 is an abundant number, since it is smaller than the sum of its proper divisors (544017504).

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

249664896 is a wasteful number, since it uses less digits than its factorization.

249664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5575 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 249664896 is about 15800.7878284597. The cubic root of 249664896 is about 629.6789293692.

The spelling of 249664896 in words is "two hundred forty-nine million, six hundred sixty-four thousand, eight hundred ninety-six".