248715480 has 256 divisors, whose sum is σ = 858009600. Its totient is φ = 57231360.

The previous prime is 248715461. The next prime is 248715487. The reversal of 248715480 is 84517842.

It is a happy number.

248715480 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248715487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1789251 + ... + 1789389.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^248715480 is an apocalyptic number.

248715480 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 248715480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

248715480 is an abundant number, since it is smaller than the sum of its proper divisors (609294120).

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

248715480 is a wasteful number, since it uses less digits than its factorization.

248715480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 248715480 is about 15770.7159000472. The cubic root of 248715480 is about 628.8797425884.

The spelling of 248715480 in words is "two hundred forty-eight million, seven hundred fifteen thousand, four hundred eighty".