465632 has 12 divisors (see below), whose sum is σ = 916776. Its totient is φ = 232800.

The previous prime is 465631. The next prime is 465643. The reversal of 465632 is 236564.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4² + 6³ + 6⁷ + 5³ + 3¹¹ + 2¹³ .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 7244 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (76398).

2⁴⁶⁵⁶³² is an apocalyptic number.

It is an amenable number.

465632 is a deficient number, since it is larger than the sum of its proper divisors (451144).

465632 is a wasteful number, since it uses less digits than its factorization.

465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561 (or 14553 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 465632 is about 682.3723323817. The cubic root of 465632 is about 77.5081919887.

The spelling of 465632 in words is "four hundred sixty-five thousand, six hundred thirty-two".