248603904 has 180 divisors, whose sum is σ = 781543840. Its totient is φ = 78382080.

The previous prime is 248603893. The next prime is 248603963. The reversal of 248603904 is 409306842.

It is a happy number.

248603904 is a `hidden beast` number, since 2 + 48 + 603 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393669 + ... + 394299.

Almost surely, 2^248603904 is an apocalyptic number.

248603904 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 248603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390771920).

248603904 is an abundant number, since it is smaller than the sum of its proper divisors (532939936).

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

248603904 is an equidigital number, since it uses as much as digits as its factorization.

248603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 248603904 is about 15767.1780607691. The cubic root of 248603904 is about 628.7856881539.

The spelling of 248603904 in words is "two hundred forty-eight million, six hundred three thousand, nine hundred four".