485880768 has 140 divisors (see below), whose sum is σ = 1516415560. Its totient is φ = 153404928.

The previous prime is 485880751. The next prime is 485880793. The reversal of 485880768 is 867088584.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96030 + ... + 100962.

Almost surely, 2^485880768 is an apocalyptic number.

485880768 is a gapful number since it is divisible by the number (48) 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 485880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758207780).

485880768 is an abundant number, since it is smaller than the sum of its proper divisors (1030534792).

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

485880768 is a wasteful number, since it uses less digits than its factorization.

485880768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 485880768 is about 22042.7032824924. The cubic root of 485880768 is about 786.1581174818.

The spelling of 485880768 in words is "four hundred eighty-five million, eight hundred eighty thousand, seven hundred sixty-eight".