481144224 has 96 divisors (see below), whose sum is σ = 1382222016. Its totient is φ = 145336320.

The previous prime is 481144193. The next prime is 481144231. The reversal of 481144224 is 422441184.

It is a Cunningham number, because it is equal to 21935²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×481144224³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 481144191 and 481144200.

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, 482094 + ... + 483090.

It is an arithmetic number, because the mean of its divisors is an integer number (14398146).

Almost surely, 2^481144224 is an apocalyptic number.

481144224 is a gapful number since it is divisible by the number (44) 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 481144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691111008).

481144224 is an abundant number, since it is smaller than the sum of its proper divisors (901077792).

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

481144224 is a wasteful number, since it uses less digits than its factorization.

481144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 481144224 is about 21934.9999772054. Note that the first 4 decimals coincide. The cubic root of 481144224 is about 783.5951852920.

It can be divided in two parts, 48114 and 4224, that multiplied together give a square (203233536 = 14256²).

The spelling of 481144224 in words is "four hundred eighty-one million, one hundred forty-four thousand, two hundred twenty-four".