480040704 has 432 divisors, whose sum is σ = 1714212864. Its totient is φ = 127180800.

The previous prime is 480040703. The next prime is 480040711. The reversal of 480040704 is 407040084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480040703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213609 + ... + 10213655.

Almost surely, 2^480040704 is an apocalyptic number.

480040704 is a gapful number since it is divisible by the number (44) 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 480040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857106432).

480040704 is an abundant number, since it is smaller than the sum of its proper divisors (1234172160).

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

480040704 is a wasteful number, since it uses less digits than its factorization.

480040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 480040704 is about 21909.8312179715. The cubic root of 480040704 is about 782.9956596599.

Adding to 480040704 its reverse (407040084), we get a palindrome (887080788).

The spelling of 480040704 in words is "four hundred eighty million, forty thousand, seven hundred four".