249632496 has 80 divisors (see below), whose sum is σ = 728361120. Its totient is φ = 81838080.

The previous prime is 249632483. The next prime is 249632497. The reversal of 249632496 is 694236942.

249632496 is a `hidden beast` number, since 2 + 4 + 9 + 632 + 4 + 9 + 6 = 666.

249632496 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249632497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21616 + ... + 31088.

It is an arithmetic number, because the mean of its divisors is an integer number (9104514).

Almost surely, 2^249632496 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 249632496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364180560).

249632496 is an abundant number, since it is smaller than the sum of its proper divisors (478728624).

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

249632496 is a wasteful number, since it uses less digits than its factorization.

249632496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9539 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 249632496 is about 15799.7625298610. The cubic root of 249632496 is about 629.6516895500.

The spelling of 249632496 in words is "two hundred forty-nine million, six hundred thirty-two thousand, four hundred ninety-six".