248374080 has 448 divisors, whose sum is σ = 987552000. Its totient is φ = 58392576.

The previous prime is 248374073. The next prime is 248374103. The reversal of 248374080 is 80473842.

248374080 is a `hidden beast` number, since 248 + 3 + 7 + 408 + 0 = 666.

248374080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790676 + ... + 2790764.

Almost surely, 2^248374080 is an apocalyptic number.

248374080 is a gapful number since it is divisible by the number (20) 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 248374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

248374080 is an abundant number, since it is smaller than the sum of its proper divisors (739177920).

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

248374080 is a wasteful number, since it uses less digits than its factorization.

248374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 248374080 is about 15759.8883244774. Note that the first 3 decimals coincide. The cubic root of 248374080 is about 628.5918663170.

The spelling of 248374080 in words is "two hundred forty-eight million, three hundred seventy-four thousand, eighty".