480444040 has 32 divisors (see below), whose sum is σ = 1082067480. Its totient is φ = 191987712.

The previous prime is 480443981. The next prime is 480444043. The reversal of 480444040 is 40444084.

It can be written as a sum of positive squares in 4 ways, for example, as 380484036 + 99960004 = 19506^2 + 9998^2 .

It is not an unprimeable number, because it can be changed into a prime (480444043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39304 + ... + 50056.

Almost surely, 2^480444040 is an apocalyptic number.

480444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480444040 is an abundant number, since it is smaller than the sum of its proper divisors (601623440).

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

480444040 is a wasteful number, since it uses less digits than its factorization.

480444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 480444040 is about 21919.0337378270. The cubic root of 480444040 is about 783.2148924089.

The spelling of 480444040 in words is "four hundred eighty million, four hundred forty-four thousand, forty".