481022000 has 80 divisors (see below), whose sum is σ = 1213797312. Its totient is φ = 184025600.

The previous prime is 481021991. The next prime is 481022033. The reversal of 481022000 is 220184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×481022000³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481022000.

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 15 ways as a sum of consecutive naturals, for example, 40772 + ... + 51228.

Almost surely, 2^481022000 is an apocalyptic number.

481022000 is a gapful number since it is divisible by the number (40) 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 481022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606898656).

481022000 is an abundant number, since it is smaller than the sum of its proper divisors (732775312).

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

481022000 is a wasteful number, since it uses less digits than its factorization.

481022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 481022000 is about 21932.2137505542. The cubic root of 481022000 is about 783.5288280238.

Adding to 481022000 its reverse (220184), we get a palindrome (481242184).

The spelling of 481022000 in words is "four hundred eighty-one million, twenty-two thousand".