481673920 has 336 divisors, whose sum is σ = 1532351520. Its totient is φ = 142442496.

The previous prime is 481673909. The next prime is 481673977. The reversal of 481673920 is 29376184.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 3465211 + ... + 3465349.

It is an arithmetic number, because the mean of its divisors is an integer number (4560570).

Almost surely, 2^481673920 is an apocalyptic number.

481673920 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 481673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766175760).

481673920 is an abundant number, since it is smaller than the sum of its proper divisors (1050677600).

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

481673920 is a wasteful number, since it uses less digits than its factorization.

481673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 481673920 is about 21947.0708751760. The cubic root of 481673920 is about 783.8826354927.

The spelling of 481673920 in words is "four hundred eighty-one million, six hundred seventy-three thousand, nine hundred twenty".