481533888 has 168 divisors, whose sum is σ = 1456310016. Its totient is φ = 139251200.

The previous prime is 481533887. The next prime is 481533907. The reversal of 481533888 is 888335184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481533887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117033 + ... + 1117463.

It is an arithmetic number, because the mean of its divisors is an integer number (8668512).

Almost surely, 2^481533888 is an apocalyptic number.

481533888 is a gapful number since it is divisible by the number (48) 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 481533888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728155008).

481533888 is an abundant number, since it is smaller than the sum of its proper divisors (974776128).

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

481533888 is a wasteful number, since it uses less digits than its factorization.

481533888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 470 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 481533888 is about 21943.8804225688. The cubic root of 481533888 is about 783.8066648082.

The spelling of 481533888 in words is "four hundred eighty-one million, five hundred thirty-three thousand, eight hundred eighty-eight".