468456912 has 160 divisors (see below), whose sum is σ = 1676559360. Its totient is φ = 121668480.

The previous prime is 468456907. The next prime is 468456931. The reversal of 468456912 is 219654864.

468456912 is a `hidden beast` number, since 4 + 6 + 84 + 569 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26223 + ... + 40305.

It is an arithmetic number, because the mean of its divisors is an integer number (10478496).

Almost surely, 2^468456912 is an apocalyptic number.

468456912 is a gapful number since it is divisible by the number (42) 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 468456912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838279680).

468456912 is an abundant number, since it is smaller than the sum of its proper divisors (1208102448).

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

468456912 is a wasteful number, since it uses less digits than its factorization.

468456912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14106 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 468456912 is about 21643.8654588315. The cubic root of 468456912 is about 776.6461918340.

The spelling of 468456912 in words is "four hundred sixty-eight million, four hundred fifty-six thousand, nine hundred twelve".