382905484560 has 480 divisors, whose sum is σ = 1424172597120. Its totient is φ = 91819008000.

The previous prime is 382905484529. The next prime is 382905484567. The reversal of 382905484560 is 65484509283.

382905484560 is a `hidden beast` number, since 3 + 8 + 2 + 90 + 548 + 4 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×382905484560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 382905484497 and 382905484506.

It is not an unprimeable number, because it can be changed into a prime (382905484567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20743335 + ... + 20761785.

It is an arithmetic number, because the mean of its divisors is an integer number (2967026244).

Almost surely, 2^382905484560 is an apocalyptic number.

382905484560 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 382905484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712086298560).

382905484560 is an abundant number, since it is smaller than the sum of its proper divisors (1041267112560).

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

382905484560 is a wasteful number, since it uses less digits than its factorization.

382905484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 382905484560 in words is "three hundred eighty-two billion, nine hundred five million, four hundred eighty-four thousand, five hundred sixty".