248910080 has 72 divisors (see below), whose sum is σ = 600936000. Its totient is φ = 98777088.

The previous prime is 248910049. The next prime is 248910131. The reversal of 248910080 is 80019842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

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, 177221 + ... + 178619.

Almost surely, 2^248910080 is an apocalyptic number.

248910080 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 248910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300468000).

248910080 is an abundant number, since it is smaller than the sum of its proper divisors (352025920).

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

248910080 is a wasteful number, since it uses less digits than its factorization.

248910080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 248910080 is about 15776.8843565515. The cubic root of 248910080 is about 629.0437158887.

The spelling of 248910080 in words is "two hundred forty-eight million, nine hundred ten thousand, eighty".