465083136 has 108 divisors (see below), whose sum is σ = 1532566672. Its totient is φ = 132876288.

The previous prime is 465083119. The next prime is 465083147. The reversal of 465083136 is 631380564.

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

It is a self number, because there is not a number n which added to its sum of digits gives 465083136.

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 11 ways as a sum of consecutive naturals, for example, 1710 + ... + 30546.

Almost surely, 2^465083136 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 465083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766283336).

465083136 is an abundant number, since it is smaller than the sum of its proper divisors (1067483536).

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

465083136 is a wasteful number, since it uses less digits than its factorization.

465083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28866 (or 28849 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 465083136 is about 21565.7862365368. The cubic root of 465083136 is about 774.7772573890. Note that the first 3 decimals are identical.

The spelling of 465083136 in words is "four hundred sixty-five million, eighty-three thousand, one hundred thirty-six".