480694778382 has 384 divisors, whose sum is σ = 1293256419840. Its totient is φ = 117715368960.

The previous prime is 480694778381. The next prime is 480694778383. The reversal of 480694778382 is 283877496084.

It is an interprime number because it is at equal distance from previous prime (480694778381) and next prime (480694778383).

It is a super-3 number, since 3×480694778382³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480694778381) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042721632 + ... + 1042722092.

It is an arithmetic number, because the mean of its divisors is an integer number (3367855260).

Almost surely, 2^480694778382 is an apocalyptic number.

480694778382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 480694778382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646628209920).

480694778382 is an abundant number, since it is smaller than the sum of its proper divisors (812561641458).

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

480694778382 is a wasteful number, since it uses less digits than its factorization.

480694778382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 480694778382 in words is "four hundred eighty billion, six hundred ninety-four million, seven hundred seventy-eight thousand, three hundred eighty-two".