382226470920 has 1536 divisors, whose sum is σ = 1630095667200. Its totient is φ = 78606028800.

The previous prime is 382226470909. The next prime is 382226470937. The reversal of 382226470920 is 29074622283.

382226470920 is a `hidden beast` number, since 382 + 2 + 264 + 7 + 0 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2917759255 + ... + 2917759385.

It is an arithmetic number, because the mean of its divisors is an integer number (1061260200).

Almost surely, 2^382226470920 is an apocalyptic number.

382226470920 is a gapful number since it is divisible by the number (30) 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 382226470920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815047833600).

382226470920 is an abundant number, since it is smaller than the sum of its proper divisors (1247869196280).

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

382226470920 is a wasteful number, since it uses less digits than its factorization.

382226470920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 382226470920 in words is "three hundred eighty-two billion, two hundred twenty-six million, four hundred seventy thousand, nine hundred twenty".