248099904 has 168 divisors, whose sum is σ = 811301400. Its totient is φ = 71811072.

The previous prime is 248099899. The next prime is 248099927. The reversal of 248099904 is 409990842.

248099904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58982400 + 189117504 = 7680^2 + 13752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 248099904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126322 + ... + 128270.

It is an arithmetic number, because the mean of its divisors is an integer number (4829175).

Almost surely, 2^248099904 is an apocalyptic number.

248099904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405650700).

248099904 is an abundant number, since it is smaller than the sum of its proper divisors (563201496).

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

248099904 is a wasteful number, since it uses less digits than its factorization.

248099904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248099904 is about 15751.1873838133. The cubic root of 248099904 is about 628.3604838009.

The spelling of 248099904 in words is "two hundred forty-eight million, ninety-nine thousand, nine hundred four".