248999104 has 112 divisors (see below), whose sum is σ = 563270400. Its totient is φ = 108573696.

The previous prime is 248999083. The next prime is 248999117. The reversal of 248999104 is 401999842.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810919 + ... + 811225.

It is an arithmetic number, because the mean of its divisors is an integer number (5029200).

Almost surely, 2^248999104 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 248999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281635200).

248999104 is an abundant number, since it is smaller than the sum of its proper divisors (314271296).

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

248999104 is a wasteful number, since it uses less digits than its factorization.

248999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 248999104 is about 15779.7054471875. The cubic root of 248999104 is about 629.1187005483.

The spelling of 248999104 in words is "two hundred forty-eight million, nine hundred ninety-nine thousand, one hundred four".