481144 has 16 divisors (see below), whose sum is σ = 910800. Its totient is φ = 238272.

The previous prime is 481141. The next prime is 481147. The reversal of 481144 is 441184.

It is an interprime number because it is at equal distance from previous prime (481141) and next prime (481147).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 877 + ... + 1315.

It is an arithmetic number, because the mean of its divisors is an integer number (56925).

2⁴⁸¹¹⁴⁴ is an apocalyptic number.

481144 is the 439-th heptagonal number.

It is an amenable number.

481144 is a deficient number, since it is larger than the sum of its proper divisors (429656).

481144 is a wasteful number, since it uses less digits than its factorization.

481144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 481144 is about 693.6454425713. The cubic root of 481144 is about 78.3595063689.

It can be divided in two parts, 481 and 144, that added together give a 4-th power (625 = 5⁴).

The spelling of 481144 in words is "four hundred eighty-one thousand, one hundred forty-four".