249934496 has 60 divisors (see below), whose sum is σ = 574210602. Its totient is φ = 107081856.

The previous prime is 249934481. The next prime is 249934501. The reversal of 249934496 is 694439942.

249934496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 133726096 + 116208400 = 11564^2 + 10780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 75206 + ... + 78458.

Almost surely, 2^249934496 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 249934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287105301).

249934496 is an abundant number, since it is smaller than the sum of its proper divisors (324276106).

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

249934496 is an frugal number, since it uses more digits than its factorization.

249934496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3262 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The square root of 249934496 is about 15809.3167467794. The cubic root of 249934496 is about 629.9055002291.

The spelling of 249934496 in words is "two hundred forty-nine million, nine hundred thirty-four thousand, four hundred ninety-six".