481693160 has 64 divisors (see below), whose sum is σ = 1175202000. Its totient is φ = 176633856.

The previous prime is 481693151. The next prime is 481693193. The reversal of 481693160 is 61396184.

It can be written as a sum of positive squares in 8 ways, for example, as 81613156 + 400080004 = 9034^2 + 20002^2 .

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, 74372 + ... + 80588.

Almost surely, 2^481693160 is an apocalyptic number.

481693160 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 481693160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587601000).

481693160 is an abundant number, since it is smaller than the sum of its proper divisors (693508840).

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

481693160 is a wasteful number, since it uses less digits than its factorization.

481693160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 481693160 is about 21947.5091980844. The cubic root of 481693160 is about 783.8930724989.

The spelling of 481693160 in words is "four hundred eighty-one million, six hundred ninety-three thousand, one hundred sixty".