481679080 has 64 divisors (see below), whose sum is σ = 1106887680. Its totient is φ = 188601600.

The previous prime is 481679069. The next prime is 481679083. The reversal of 481679080 is 80976184.

It is a super-2 number, since 2×481679080² = 464029472219292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481679083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 511410 + ... + 512350.

It is an arithmetic number, because the mean of its divisors is an integer number (17295120).

Almost surely, 2^481679080 is an apocalyptic number.

481679080 is a gapful number since it is divisible by the number (40) 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 481679080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553443840).

481679080 is an abundant number, since it is smaller than the sum of its proper divisors (625208600).

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

481679080 is a wasteful number, since it uses less digits than its factorization.

481679080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 481679080 is about 21947.1884304118. The cubic root of 481679080 is about 783.8854346339.

The spelling of 481679080 in words is "four hundred eighty-one million, six hundred seventy-nine thousand, eighty".