481243968 has 84 divisors (see below), whose sum is σ = 1384938048. Its totient is φ = 159770880.

The previous prime is 481243957. The next prime is 481243981. The reversal of 481243968 is 869342184.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 154555 + ... + 157637.

Almost surely, 2^481243968 is an apocalyptic number.

481243968 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 481243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692469024).

481243968 is an abundant number, since it is smaller than the sum of its proper divisors (903694080).

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

481243968 is a wasteful number, since it uses less digits than its factorization.

481243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3359 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 481243968 is about 21937.2734860101. The cubic root of 481243968 is about 783.6493294993.

The spelling of 481243968 in words is "four hundred eighty-one million, two hundred forty-three thousand, nine hundred sixty-eight".