465105168 has 120 divisors (see below), whose sum is σ = 1425265920. Its totient is φ = 140417280.

The previous prime is 465105143. The next prime is 465105197. The reversal of 465105168 is 861501564.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758430 + ... + 759042.

It is an arithmetic number, because the mean of its divisors is an integer number (11877216).

Almost surely, 2^465105168 is an apocalyptic number.

465105168 is a gapful number since it is divisible by the number (48) 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 465105168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712632960).

465105168 is an abundant number, since it is smaller than the sum of its proper divisors (960160752).

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

465105168 is a wasteful number, since it uses less digits than its factorization.

465105168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 465105168 is about 21566.2970395940. The cubic root of 465105168 is about 774.7894914906.

The spelling of 465105168 in words is "four hundred sixty-five million, one hundred five thousand, one hundred sixty-eight".