468105792 has 112 divisors (see below), whose sum is σ = 1544189952. Its totient is φ = 121582080.

The previous prime is 468105739. The next prime is 468105809. The reversal of 468105792 is 297501864.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 30615.

Almost surely, 2^468105792 is an apocalyptic number.

468105792 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 468105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772094976).

468105792 is an abundant number, since it is smaller than the sum of its proper divisors (1076084160).

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

468105792 is a wasteful number, since it uses less digits than its factorization.

468105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31696 (or 31686 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 468105792 is about 21635.7526330840. The cubic root of 468105792 is about 776.4521048482.

The spelling of 468105792 in words is "four hundred sixty-eight million, one hundred five thousand, seven hundred ninety-two".