481045656 has 96 divisors (see below), whose sum is σ = 1488360960. Its totient is φ = 126861696.

The previous prime is 481045637. The next prime is 481045657. The reversal of 481045656 is 656540184.

It is a happy number.

It is a super-3 number, since 3×481045656³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481045657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19921 + ... + 36863.

It is an arithmetic number, because the mean of its divisors is an integer number (15503760).

Almost surely, 2^481045656 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 481045656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744180480).

481045656 is an abundant number, since it is smaller than the sum of its proper divisors (1007315304).

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

481045656 is a wasteful number, since it uses less digits than its factorization.

481045656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16985 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 481045656 is about 21932.7530419690. The cubic root of 481045656 is about 783.5416721031.

The spelling of 481045656 in words is "four hundred eighty-one million, forty-five thousand, six hundred fifty-six".