465636 has 12 divisors (see below), whose sum is σ = 1086512. Its totient is φ = 155208.

The previous prime is 465631. The next prime is 465643. The reversal of 465636 is 636564.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 4⁶ + 6² + 6⁴ + 5⁵ + 3¹¹ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (465631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19390 + ... + 19413.

2⁴⁶⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

465636 is an abundant number, since it is smaller than the sum of its proper divisors (620876).

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

465636 is a wasteful number, since it uses less digits than its factorization.

465636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38810 (or 38808 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 465636 is about 682.3752633266. The cubic root of 465636 is about 77.5084139321.

Subtracting from 465636 its product of digits (12960), we obtain a triangular number (452676 = T₉₅₁).

It can be divided in two parts, 46563 and 6, that multiplied together give a triangular number (279378 = T₇₄₇).

The spelling of 465636 in words is "four hundred sixty-five thousand, six hundred thirty-six".