481214448 has 120 divisors (see below), whose sum is σ = 1582242480. Its totient is φ = 134599680.

The previous prime is 481214431. The next prime is 481214453. The reversal of 481214448 is 844412184.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8908 + ... + 32276.

It is an arithmetic number, because the mean of its divisors is an integer number (13185354).

Almost surely, 2^481214448 is an apocalyptic number.

481214448 is a gapful number since it is divisible by the number (48) 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 481214448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791121240).

481214448 is an abundant number, since it is smaller than the sum of its proper divisors (1101028032).

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

481214448 is a wasteful number, since it uses less digits than its factorization.

481214448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23398 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 481214448 is about 21936.6006482317. The cubic root of 481214448 is about 783.6333058863.

The spelling of 481214448 in words is "four hundred eighty-one million, two hundred fourteen thousand, four hundred forty-eight".