248619008 has 112 divisors (see below), whose sum is σ = 566196480. Its totient is φ = 108134400.

The previous prime is 248618989. The next prime is 248619013. The reversal of 248619008 is 800916842.

It is a super-2 number, since 2×248619008² = 123622822277808128, which contains 22 as substring.

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, 2793428 + ... + 2793516.

Almost surely, 2^248619008 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 248619008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283098240).

248619008 is an abundant number, since it is smaller than the sum of its proper divisors (317577472).

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

248619008 is an equidigital number, since it uses as much as digits as its factorization.

248619008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 248619008 is about 15767.6570231598. The cubic root of 248619008 is about 628.7984219131.

The spelling of 248619008 in words is "two hundred forty-eight million, six hundred nineteen thousand, eight".