468129816 has 192 divisors, whose sum is σ = 1674017280. Its totient is φ = 114416640.

The previous prime is 468129811. The next prime is 468129817. The reversal of 468129816 is 618921864.

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 (468129811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91765 + ... + 96731.

It is an arithmetic number, because the mean of its divisors is an integer number (8718840).

Almost surely, 2^468129816 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 468129816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837008640).

468129816 is an abundant number, since it is smaller than the sum of its proper divisors (1205887464).

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

468129816 is a wasteful number, since it uses less digits than its factorization.

468129816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014 (or 5007 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 468129816 is about 21636.3078181098. The cubic root of 468129816 is about 776.4653875766.

The spelling of 468129816 in words is "four hundred sixty-eight million, one hundred twenty-nine thousand, eight hundred sixteen".