248482365300 has 432 divisors, whose sum is σ = 877570581888. Its totient is φ = 58349491200.

The previous prime is 248482365283. The next prime is 248482365343. The reversal of 248482365300 is 3563284842.

248482365300 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 82 + 36 + 530 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124054099 + ... + 124056101.

It is an arithmetic number, because the mean of its divisors is an integer number (2031413384).

Almost surely, 2^248482365300 is an apocalyptic number.

248482365300 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 248482365300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438785290944).

248482365300 is an abundant number, since it is smaller than the sum of its proper divisors (629088216588).

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

248482365300 is a wasteful number, since it uses less digits than its factorization.

248482365300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 248482365300 in words is "two hundred forty-eight billion, four hundred eighty-two million, three hundred sixty-five thousand, three hundred".