481057160 has 32 divisors (see below), whose sum is σ = 1146049560. Its totient is φ = 181103616.

The previous prime is 481057153. The next prime is 481057169. The reversal of 481057160 is 61750184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 479697604 + 1359556 = 21902^2 + 1166^2 .

It is a super-3 number, since 3×481057160³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (481057169) 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, 353039 + ... + 354398.

Almost surely, 2^481057160 is an apocalyptic number.

481057160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481057160 is an abundant number, since it is smaller than the sum of its proper divisors (664992400).

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

481057160 is a wasteful number, since it uses less digits than its factorization.

481057160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707465 (or 707461 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 481057160 is about 21933.0152965797. The cubic root of 481057160 is about 783.5479180741.

The spelling of 481057160 in words is "four hundred eighty-one million, fifty-seven thousand, one hundred sixty".