481115440 has 80 divisors (see below), whose sum is σ = 1237295808. Its totient is φ = 172827648.

The previous prime is 481115413. The next prime is 481115461. The reversal of 481115440 is 44511184.

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

It is a junction number, because it is equal to n+sod(n) for n = 481115399 and 481115408.

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, 32229 + ... + 44731.

Almost surely, 2^481115440 is an apocalyptic number.

481115440 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 481115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618647904).

481115440 is an abundant number, since it is smaller than the sum of its proper divisors (756180368).

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

481115440 is a wasteful number, since it uses less digits than its factorization.

481115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 481115440 is about 21934.3438470359. The cubic root of 481115440 is about 783.5795590324.

It can be divided in two parts, 481 and 115440, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 481115440 in words is "four hundred eighty-one million, one hundred fifteen thousand, four hundred forty".