249290496 has 432 divisors, whose sum is σ = 937460160. Its totient is φ = 61931520.

The previous prime is 249290477. The next prime is 249290501. The reversal of 249290496 is 694092942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080236 + ... + 6080276.

Almost surely, 2^249290496 is an apocalyptic number.

249290496 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 249290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468730080).

249290496 is an abundant number, since it is smaller than the sum of its proper divisors (688169664).

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

249290496 is a wasteful number, since it uses less digits than its factorization.

249290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 249290496 is about 15788.9358729460. The cubic root of 249290496 is about 629.3640142724.

The spelling of 249290496 in words is "two hundred forty-nine million, two hundred ninety thousand, four hundred ninety-six".