481755456 has 378 divisors, whose sum is σ = 1756601262. Its totient is φ = 125798400.

The previous prime is 481755437. The next prime is 481755457. The reversal of 481755456 is 654557184.

481755456 is a `hidden beast` number, since 48 + 1 + 7 + 554 + 56 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 441000000 = 6384^2 + 21000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481755457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769806 + ... + 4769906.

Almost surely, 2^481755456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878300631).

481755456 is an abundant number, since it is smaller than the sum of its proper divisors (1274845806).

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

481755456 is a wasteful number, since it uses less digits than its factorization.

481755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 481755456 is about 21948.9283565280. The cubic root of 481755456 is about 783.9268639260.

The spelling of 481755456 in words is "four hundred eighty-one million, seven hundred fifty-five thousand, four hundred fifty-six".