481384640 has 112 divisors (see below), whose sum is σ = 1259677440. Its totient is φ = 173767680.

The previous prime is 481384639. The next prime is 481384667. The reversal of 481384640 is 46483184.

It is a junction number, because it is equal to n+sod(n) for n = 481384594 and 481384603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573341 + ... + 574179.

It is an arithmetic number, because the mean of its divisors is an integer number (11247120).

Almost surely, 2^481384640 is an apocalyptic number.

481384640 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 481384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629838720).

481384640 is an abundant number, since it is smaller than the sum of its proper divisors (778292800).

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

481384640 is a wasteful number, since it uses less digits than its factorization.

481384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 481384640 is about 21940.4794842775. The cubic root of 481384640 is about 783.7256780089.

The spelling of 481384640 in words is "four hundred eighty-one million, three hundred eighty-four thousand, six hundred forty".