481168 has 40 divisors (see below), whose sum is σ = 1037880. Its totient is φ = 215040.

The previous prime is 481157. The next prime is 481171. The reversal of 481168 is 861184.

481168 = 27² + 28² + ... + 113².

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 451584 = 172^2 + 672^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7858 + ... + 7918.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2⁴⁸¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518940).

481168 is an abundant number, since it is smaller than the sum of its proper divisors (556712).

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

481168 is a wasteful number, since it uses less digits than its factorization.

481168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 481168 is about 693.6627422602. The cubic root of 481168 is about 78.3608092338.

It can be divided in two parts, 481 and 168, that multiplied together give a palindrome (80808).

The spelling of 481168 in words is "four hundred eighty-one thousand, one hundred sixty-eight".