248594944 has 100 divisors (see below), whose sum is σ = 569747574. Its totient is φ = 107986944.

The previous prime is 248594933. The next prime is 248594981. The reversal of 248594944 is 449495842.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 14137600 + 234457344 = 3760^2 + 15312^2 .

Its product of digits (1658880) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

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, 14623224 + ... + 14623240.

Almost surely, 2^248594944 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 248594944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284873787).

248594944 is an abundant number, since it is smaller than the sum of its proper divisors (321152630).

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

248594944 is an frugal number, since it uses more digits than its factorization.

248594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 32 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 248594944 is about 15766.8939236617. The cubic root of 248594944 is about 628.7781339853.

The spelling of 248594944 in words is "two hundred forty-eight million, five hundred ninety-four thousand, nine hundred forty-four".