481022496 has 192 divisors, whose sum is σ = 1480066560. Its totient is φ = 151787520.

The previous prime is 481022489. The next prime is 481022519. The reversal of 481022496 is 694220184.

It is a super-3 number, since 3×481022496³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 481022496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310505 + ... + 1310871.

It is an arithmetic number, because the mean of its divisors is an integer number (7708680).

Almost surely, 2^481022496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481022496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740033280).

481022496 is an abundant number, since it is smaller than the sum of its proper divisors (999044064).

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

481022496 is a wasteful number, since it uses less digits than its factorization.

481022496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481022496 is about 21932.2250581194. The cubic root of 481022496 is about 783.5290973325.

The spelling of 481022496 in words is "four hundred eighty-one million, twenty-two thousand, four hundred ninety-six".