481193856 has 384 divisors, whose sum is σ = 1710858240. Its totient is φ = 127733760.

The previous prime is 481193831. The next prime is 481193893. The reversal of 481193856 is 658391184.

481193856 is a `hidden beast` number, since 481 + 1 + 93 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788865 + ... + 3788991.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^481193856 is an apocalyptic number.

481193856 is a gapful number since it is divisible by the number (46) 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 481193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

481193856 is an abundant number, since it is smaller than the sum of its proper divisors (1229664384).

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

481193856 is a wasteful number, since it uses less digits than its factorization.

481193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 481193856 is about 21936.1312906355. The cubic root of 481193856 is about 783.6221280513.

The spelling of 481193856 in words is "four hundred eighty-one million, one hundred ninety-three thousand, eight hundred fifty-six".