468627768 has 120 divisors (see below), whose sum is σ = 1526995800. Its totient is φ = 133884576.

The previous prime is 468627767. The next prime is 468627773. The reversal of 468627768 is 867726864.

468627768 is a `hidden beast` number, since 4 + 6 + 8 + 627 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×468627768² = 439223969881323648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468627767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24373 + ... + 39131.

It is an arithmetic number, because the mean of its divisors is an integer number (12724965).

Almost surely, 2^468627768 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 468627768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763497900).

468627768 is an abundant number, since it is smaller than the sum of its proper divisors (1058368032).

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

468627768 is a wasteful number, since it uses less digits than its factorization.

468627768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791 (or 14771 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 468627768 is about 21647.8120834416. The cubic root of 468627768 is about 776.7406000420.

The spelling of 468627768 in words is "four hundred sixty-eight million, six hundred twenty-seven thousand, seven hundred sixty-eight".