468438768 has 320 divisors, whose sum is σ = 1676083200. Its totient is φ = 122238720.

The previous prime is 468438739. The next prime is 468438781. The reversal of 468438768 is 867834864.

468438768 is a `hidden beast` number, since 468 + 43 + 87 + 68 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1781005 + ... + 1781267.

It is an arithmetic number, because the mean of its divisors is an integer number (5237760).

Almost surely, 2^468438768 is an apocalyptic number.

468438768 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 468438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838041600).

468438768 is an abundant number, since it is smaller than the sum of its proper divisors (1207644432).

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

468438768 is a wasteful number, since it uses less digits than its factorization.

468438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 468438768 is about 21643.4463059837. The cubic root of 468438768 is about 776.6361648354.

It can be divided in two parts, 46843 and 8768, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 468438768 in words is "four hundred sixty-eight million, four hundred thirty-eight thousand, seven hundred sixty-eight".