481416144 has 40 divisors (see below), whose sum is σ = 1356719712. Its totient is φ = 145883520.

The previous prime is 481416127. The next prime is 481416157. The reversal of 481416144 is 441614184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

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, 455359 + ... + 456414.

Almost surely, 2^481416144 is an apocalyptic number.

481416144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

481416144 is an abundant number, since it is smaller than the sum of its proper divisors (875303568).

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

481416144 is a wasteful number, since it uses less digits than its factorization.

481416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911795 (or 911789 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 481416144 is about 21941.1974149088. The cubic root of 481416144 is about 783.7427744934.

It can be divided in two parts, 48141 and 6144, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 481416144 in words is "four hundred eighty-one million, four hundred sixteen thousand, one hundred forty-four".