481634960 has 40 divisors (see below), whose sum is σ = 1120716216. Its totient is φ = 192496640.

The previous prime is 481634953. The next prime is 481634969. The reversal of 481634960 is 69436184.

It can be written as a sum of positive squares in 4 ways, for example, as 103876864 + 377758096 = 10192^2 + 19436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (481634969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 182450 + ... + 185070.

Almost surely, 2^481634960 is an apocalyptic number.

481634960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481634960 is an abundant number, since it is smaller than the sum of its proper divisors (639081256).

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

481634960 is a wasteful number, since it uses less digits than its factorization.

481634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 481634960 is about 21946.1832672563. The cubic root of 481634960 is about 783.8615002463.

The spelling of 481634960 in words is "four hundred eighty-one million, six hundred thirty-four thousand, nine hundred sixty".