465264891 has 160 divisors (see below), whose sum is σ = 936714240. Its totient is φ = 223202304.

The previous prime is 465264853. The next prime is 465264901. The reversal of 465264891 is 198462564.

465264891 is a `hidden beast` number, since 46 + 526 + 4 + 89 + 1 = 666.

It is not a de Polignac number, because 465264891 - 2⁹ = 465264379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465264691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5889390 + ... + 5889468.

It is an arithmetic number, because the mean of its divisors is an integer number (5854464).

Almost surely, 2^465264891 is an apocalyptic number.

465264891 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

465264891 is a wasteful number, since it uses less digits than its factorization.

465264891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

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

The square root of 465264891 is about 21569.9997913769. Note that the first 3 decimals coincide. The cubic root of 465264891 is about 774.8781721785.

It can be divided in two parts, 465 and 264891, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 465264891 in words is "four hundred sixty-five million, two hundred sixty-four thousand, eight hundred ninety-one".