465216 has 28 divisors (see below), whose sum is σ = 1231392. Its totient is φ = 155008.

The previous prime is 465211. The next prime is 465259. The reversal of 465216 is 612564.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465211) by changing a digit.

465216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1020 + ... + 1403.

2⁴⁶⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

465216 is an abundant number, since it is smaller than the sum of its proper divisors (766176).

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

465216 is a wasteful number, since it uses less digits than its factorization.

465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 465216 is about 682.0674453454. The cubic root of 465216 is about 77.4851029292.

The spelling of 465216 in words is "four hundred sixty-five thousand, two hundred sixteen".