481009032 has 96 divisors (see below), whose sum is σ = 1504339200. Its totient is φ = 136000512.

The previous prime is 481009031. The next prime is 481009037. The reversal of 481009032 is 230900184.

It is a super-3 number, since 3×481009032³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 481008987 and 481009005.

It is not an unprimeable number, because it can be changed into a prime (481009031) 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, 43969 + ... + 53807.

It is an arithmetic number, because the mean of its divisors is an integer number (15670200).

Almost surely, 2^481009032 is an apocalyptic number.

481009032 is a gapful number since it is divisible by the number (42) 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 481009032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752169600).

481009032 is an abundant number, since it is smaller than the sum of its proper divisors (1023330168).

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

481009032 is a wasteful number, since it uses less digits than its factorization.

481009032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 481009032 is about 21931.9181103706. The cubic root of 481009032 is about 783.5217868399.

The spelling of 481009032 in words is "four hundred eighty-one million, nine thousand, thirty-two".