468086112 has 288 divisors, whose sum is σ = 1533692160. Its totient is φ = 134369280.

The previous prime is 468086111. The next prime is 468086153. The reversal of 468086112 is 211680864.

468086112 is a `hidden beast` number, since 468 + 0 + 86 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468086111) 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, 4294314 + ... + 4294422.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2^468086112 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 468086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766846080).

468086112 is an abundant number, since it is smaller than the sum of its proper divisors (1065606048).

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

468086112 is a wasteful number, since it uses less digits than its factorization.

468086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 468086112 is about 21635.2978255443. The cubic root of 468086112 is about 776.4412235532.

The spelling of 468086112 in words is "four hundred sixty-eight million, eighty-six thousand, one hundred twelve".