481115040 has 288 divisors, whose sum is σ = 1801699200. Its totient is φ = 105707520.

The previous prime is 481114961. The next prime is 481115059. The reversal of 481115040 is 40511184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 481115040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3228886 + ... + 3229034.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^481115040 is an apocalyptic number.

481115040 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 481115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900849600).

481115040 is an abundant number, since it is smaller than the sum of its proper divisors (1320584160).

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

481115040 is a wasteful number, since it uses less digits than its factorization.

481115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 481115040 is about 21934.3347289130. The cubic root of 481115040 is about 783.5793418760.

The spelling of 481115040 in words is "four hundred eighty-one million, one hundred fifteen thousand, forty".