248906304 has 112 divisors (see below), whose sum is σ = 757123200. Its totient is φ = 80091648.

The previous prime is 248906279. The next prime is 248906321. The reversal of 248906304 is 403609842.

It is a happy number.

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

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, 47629 + ... + 52595.

Almost surely, 2^248906304 is an apocalyptic number.

248906304 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 248906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378561600).

248906304 is an abundant number, since it is smaller than the sum of its proper divisors (508216896).

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

248906304 is a wasteful number, since it uses less digits than its factorization.

248906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5001 counting only the distinct ones).

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

The square root of 248906304 is about 15776.7646873496. The cubic root of 248906304 is about 629.0405349795.

The spelling of 248906304 in words is "two hundred forty-eight million, nine hundred six thousand, three hundred four".