481026768 has 80 divisors (see below), whose sum is σ = 1267734336. Its totient is φ = 157132800.

The previous prime is 481026731. The next prime is 481026769. The reversal of 481026768 is 867620184.

It is a super-3 number, since 3×481026768³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481026769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199368 + ... + 1199768.

Almost surely, 2^481026768 is an apocalyptic number.

481026768 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 481026768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633867168).

481026768 is an abundant number, since it is smaller than the sum of its proper divisors (786707568).

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

481026768 is a wasteful number, since it uses less digits than its factorization.

481026768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 481026768 is about 21932.3224488425. The cubic root of 481026768 is about 783.5314168542.

The spelling of 481026768 in words is "four hundred eighty-one million, twenty-six thousand, seven hundred sixty-eight".