382173860250 has 768 divisors, whose sum is σ = 1329268921344. Its totient is φ = 77075712000.

The previous prime is 382173860249. The next prime is 382173860251. The reversal of 382173860250 is 52068371283.

382173860250 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 7 + 38 + 602 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382173860249) and next prime (382173860251).

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

It is a junction number, because it is equal to n+sod(n) for n = 382173860196 and 382173860205.

It is not an unprimeable number, because it can be changed into a prime (382173860251) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 462120337 + ... + 462121163.

It is an arithmetic number, because the mean of its divisors is an integer number (1730818908).

Almost surely, 2^382173860250 is an apocalyptic number.

382173860250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 382173860250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664634460672).

382173860250 is an abundant number, since it is smaller than the sum of its proper divisors (947095061094).

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

382173860250 is a wasteful number, since it uses less digits than its factorization.

382173860250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 382173860250 in words is "three hundred eighty-two billion, one hundred seventy-three million, eight hundred sixty thousand, two hundred fifty".