480407046 has 64 divisors (see below), whose sum is σ = 1165570560. Its totient is φ = 128862720.

The previous prime is 480407033. The next prime is 480407107. The reversal of 480407046 is 640704084.

It is a super-2 number, since 2×480407046² = 461581859692892232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480406998 and 480407016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 470016 + ... + 471036.

It is an arithmetic number, because the mean of its divisors is an integer number (18212040).

Almost surely, 2^480407046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480407046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582785280).

480407046 is an abundant number, since it is smaller than the sum of its proper divisors (685163514).

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

480407046 is a wasteful number, since it uses less digits than its factorization.

480407046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 480407046 is about 21918.1898431417. The cubic root of 480407046 is about 783.1947894812.

The spelling of 480407046 in words is "four hundred eighty million, four hundred seven thousand, forty-six".