468360816 has 240 divisors, whose sum is σ = 1574863488. Its totient is φ = 118540800.

The previous prime is 468360791. The next prime is 468360833. The reversal of 468360816 is 618063864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1112286 + ... + 1112706.

Almost surely, 2^468360816 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 468360816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787431744).

468360816 is an abundant number, since it is smaller than the sum of its proper divisors (1106502672).

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

468360816 is a wasteful number, since it uses less digits than its factorization.

468360816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 468360816 is about 21641.6454087946. The cubic root of 468360816 is about 776.5930829323.

The spelling of 468360816 in words is "four hundred sixty-eight million, three hundred sixty thousand, eight hundred sixteen".