481036920 has 512 divisors, whose sum is σ = 1935360000. Its totient is φ = 94832640.

The previous prime is 481036909. The next prime is 481036921. The reversal of 481036920 is 29630184.

It is a super-3 number, since 3×481036920³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481036921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 15517305 + ... + 15517335.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^481036920 is an apocalyptic number.

481036920 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 481036920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680000).

481036920 is an abundant number, since it is smaller than the sum of its proper divisors (1454323080).

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

481036920 is a wasteful number, since it uses less digits than its factorization.

481036920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 481036920 is about 21932.5538868596. The cubic root of 481036920 is about 783.5369289210.

The spelling of 481036920 in words is "four hundred eighty-one million, thirty-six thousand, nine hundred twenty".