248980544 has 56 divisors (see below), whose sum is σ = 514868160. Its totient is φ = 119314944.

The previous prime is 248980513. The next prime is 248980597. The reversal of 248980544 is 445089842.

It is a super-2 number, since 2×248980544² = 123982622581071872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248980495 and 248980504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302117 + ... + 302939.

Almost surely, 2^248980544 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 248980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257434080).

248980544 is an abundant number, since it is smaller than the sum of its proper divisors (265887616).

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

248980544 is a wasteful number, since it uses less digits than its factorization.

248980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 248980544 is about 15779.1173390656. The cubic root of 248980544 is about 629.1030689884.

The spelling of 248980544 in words is "two hundred forty-eight million, nine hundred eighty thousand, five hundred forty-four".