248204880 has 480 divisors, whose sum is σ = 1076145408. Its totient is φ = 50181120.

The previous prime is 248204837. The next prime is 248204897. The reversal of 248204880 is 88402842.

248204880 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 95 ways as a sum of consecutive naturals, for example, 6708222 + ... + 6708258.

Almost surely, 2^248204880 is an apocalyptic number.

248204880 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 248204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538072704).

248204880 is an abundant number, since it is smaller than the sum of its proper divisors (827940528).

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

248204880 is a wasteful number, since it uses less digits than its factorization.

248204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 248204880 is about 15754.5193516019. The cubic root of 248204880 is about 628.4490952405.

The spelling of 248204880 in words is "two hundred forty-eight million, two hundred four thousand, eight hundred eighty".