468906165 has 96 divisors (see below), whose sum is σ = 1037627136. Its totient is φ = 197821440.

The previous prime is 468906101. The next prime is 468906167. The reversal of 468906165 is 561609864.

It is not a de Polignac number, because 468906165 - 2⁶ = 468906101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 468906165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468906167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108445 + ... + 112685.

It is an arithmetic number, because the mean of its divisors is an integer number (10808616).

Almost surely, 2^468906165 is an apocalyptic number.

468906165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468906165 is an abundant number, since it is smaller than the sum of its proper divisors (568720971).

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

468906165 is a wasteful number, since it uses less digits than its factorization.

468906165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 468906165 is about 21654.2412704763. The cubic root of 468906165 is about 776.8943819708.

The spelling of 468906165 in words is "four hundred sixty-eight million, nine hundred six thousand, one hundred sixty-five".