465416 has 16 divisors (see below), whose sum is σ = 997440. Its totient is φ = 199440.

The previous prime is 465407. The next prime is 465419. The reversal of 465416 is 614564.

It is a happy number.

It is a super-3 number, since 3×465416³ = 302444145855333888, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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 not an unprimeable number, because it can be changed into a prime (465419) by changing a digit.

465416 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, 4100 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (62340).

2⁴⁶⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

465416 is an abundant number, since it is smaller than the sum of its proper divisors (532024).

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

465416 is a wasteful number, since it uses less digits than its factorization.

465416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8320 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 465416 is about 682.2140426582. The cubic root of 465416 is about 77.4962051558.

The spelling of 465416 in words is "four hundred sixty-five thousand, four hundred sixteen".