481928160 has 192 divisors, whose sum is σ = 1826496000. Its totient is φ = 104343552.

The previous prime is 481928137. The next prime is 481928197. The reversal of 481928160 is 61829184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60066 + ... + 67614.

It is an arithmetic number, because the mean of its divisors is an integer number (9513000).

Almost surely, 2^481928160 is an apocalyptic number.

481928160 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 481928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913248000).

481928160 is an abundant number, since it is smaller than the sum of its proper divisors (1344567840).

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

481928160 is a wasteful number, since it uses less digits than its factorization.

481928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 481928160 is about 21952.8622279647. The cubic root of 481928160 is about 784.0205291029.

The spelling of 481928160 in words is "four hundred eighty-one million, nine hundred twenty-eight thousand, one hundred sixty".