481192768 has 56 divisors (see below), whose sum is σ = 1114543872. Its totient is φ = 201828864.

The previous prime is 481192763. The next prime is 481192771. The reversal of 481192768 is 867291184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481192763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9630 + ... + 32482.

Almost surely, 2^481192768 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 481192768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557271936).

481192768 is an abundant number, since it is smaller than the sum of its proper divisors (633351104).

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

481192768 is a wasteful number, since it uses less digits than its factorization.

481192768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22919 (or 22909 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The square root of 481192768 is about 21936.1064913535. The cubic root of 481192768 is about 783.6215374497.

It can be divided in two parts, 4811 and 92768, that added together give a palindrome (97579).

The spelling of 481192768 in words is "four hundred eighty-one million, one hundred ninety-two thousand, seven hundred sixty-eight".