480809790 has 32 divisors (see below), whose sum is σ = 1282160160. Its totient is φ = 128215872.

The previous prime is 480809729. The next prime is 480809803. The reversal of 480809790 is 97908084.

480809790 is a `hidden beast` number, since 480 + 80 + 9 + 7 + 90 = 666.

It is a super-3 number, since 3×480809790³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890119 + ... + 890658.

It is an arithmetic number, because the mean of its divisors is an integer number (40067505).

Almost surely, 2^480809790 is an apocalyptic number.

480809790 is an abundant number, since it is smaller than the sum of its proper divisors (801350370).

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

480809790 is a wasteful number, since it uses less digits than its factorization.

480809790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780793 (or 1780787 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 480809790 is about 21927.3753559335. The cubic root of 480809790 is about 783.4135892823.

The spelling of 480809790 in words is "four hundred eighty million, eight hundred nine thousand, seven hundred ninety".