465638166 has 128 divisors (see below), whose sum is σ = 1238630400. Its totient is φ = 126865440.

The previous prime is 465638153. The next prime is 465638183. The reversal of 465638166 is 661836564.

465638166 is a `hidden beast` number, since 4 + 6 + 5 + 638 + 1 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925471 + ... + 925973.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2^465638166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465638166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619315200).

465638166 is an abundant number, since it is smaller than the sum of its proper divisors (772992234).

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

465638166 is a wasteful number, since it uses less digits than its factorization.

465638166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 465638166 is about 21578.6506992444. The cubic root of 465638166 is about 775.0853411397.

The spelling of 465638166 in words is "four hundred sixty-five million, six hundred thirty-eight thousand, one hundred sixty-six".