249680448 has 224 divisors, whose sum is σ = 780288000. Its totient is φ = 78174720.

The previous prime is 249680443. The next prime is 249680449. The reversal of 249680448 is 844086942.

It is a super-2 number, since 2×249680448² = 124680652226961408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249680443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3160473 + ... + 3160551.

Almost surely, 2^249680448 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 249680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

249680448 is an abundant number, since it is smaller than the sum of its proper divisors (530607552).

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

249680448 is a wasteful number, since it uses less digits than its factorization.

249680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 249680448 is about 15801.2799481561. The cubic root of 249680448 is about 629.6920036453.

It can be divided in two parts, 2496 and 80448, that added together give a square (82944 = 288²).

The spelling of 249680448 in words is "two hundred forty-nine million, six hundred eighty thousand, four hundred forty-eight".