480046480 has 20 divisors (see below), whose sum is σ = 1116108252. Its totient is φ = 192018560.

The previous prime is 480046451. The next prime is 480046481. The reversal of 480046480 is 84640084.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 415018384 = 8064^2 + 20372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (480046481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3000211 + ... + 3000370.

Almost surely, 2^480046480 is an apocalyptic number.

480046480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480046480 is an abundant number, since it is smaller than the sum of its proper divisors (636061772).

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

480046480 is a wasteful number, since it uses less digits than its factorization.

480046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000594 (or 6000588 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 480046480 is about 21909.9630305485. The cubic root of 480046480 is about 782.9988000636.

The spelling of 480046480 in words is "four hundred eighty million, forty-six thousand, four hundred eighty".