248598720 has 336 divisors, whose sum is σ = 931956480. Its totient is φ = 62954496.

The previous prime is 248598659. The next prime is 248598737. The reversal of 248598720 is 27895842.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1788411 + ... + 1788549.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 2^248598720 is an apocalyptic number.

248598720 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 248598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

248598720 is an abundant number, since it is smaller than the sum of its proper divisors (683357760).

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

248598720 is a wasteful number, since it uses less digits than its factorization.

248598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 248598720 is about 15767.0136677812. The cubic root of 248598720 is about 628.7813175499.

The spelling of 248598720 in words is "two hundred forty-eight million, five hundred ninety-eight thousand, seven hundred twenty".