465656112 has 120 divisors (see below), whose sum is σ = 1387661184. Its totient is φ = 145262592.

The previous prime is 465656101. The next prime is 465656117. The reversal of 465656112 is 211656564.

465656112 is a `hidden beast` number, since 46 + 56 + 561 + 1 + 2 = 666.

It is a super-2 number, since 2×465656112² = 433671229285913088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (465656117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 545478 + ... + 546330.

Almost surely, 2^465656112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465656112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693830592).

465656112 is an abundant number, since it is smaller than the sum of its proper divisors (922005072).

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

465656112 is a wasteful number, since it uses less digits than its factorization.

465656112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 465656112 is about 21579.0665229059. The cubic root of 465656112 is about 775.0952984441.

The spelling of 465656112 in words is "four hundred sixty-five million, six hundred fifty-six thousand, one hundred twelve".