481344768 has 180 divisors, whose sum is σ = 1454265120. Its totient is φ = 158340096.

The previous prime is 481344767. The next prime is 481344793. The reversal of 481344768 is 867443184.

481344768 is a `hidden beast` number, since 48 + 134 + 476 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481344767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2882221 + ... + 2882387.

Almost surely, 2^481344768 is an apocalyptic number.

481344768 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 481344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727132560).

481344768 is an abundant number, since it is smaller than the sum of its proper divisors (972920352).

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

481344768 is a wasteful number, since it uses less digits than its factorization.

481344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 481344768 is about 21939.5708253375. The cubic root of 481344768 is about 783.7040393368.

The spelling of 481344768 in words is "four hundred eighty-one million, three hundred forty-four thousand, seven hundred sixty-eight".