249464448 has 80 divisors (see below), whose sum is σ = 742433010. Its totient is φ = 83151360.

The previous prime is 249464431. The next prime is 249464461. The reversal of 249464448 is 844464942.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 115089984 = 11592^2 + 10728^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1663 + ... + 22398.

Almost surely, 2^249464448 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 249464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371216505).

249464448 is an abundant number, since it is smaller than the sum of its proper divisors (492968562).

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

249464448 is an equidigital number, since it uses as much as digits as its factorization.

249464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24087 (or 24066 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 249464448 is about 15794.4435799429. The cubic root of 249464448 is about 629.5103678588.

The spelling of 249464448 in words is "two hundred forty-nine million, four hundred sixty-four thousand, four hundred forty-eight".