465040 has 20 divisors (see below), whose sum is σ = 1081404. Its totient is φ = 185984.

The previous prime is 465019. The next prime is 465041. The reversal of 465040 is 40564.

It can be written as a sum of positive squares in 2 ways, for example, as 246016 + 219024 = 496^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 464999 and 465017.

It is not an unprimeable number, because it can be changed into a prime (465041) by changing a digit.

465040 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, 2827 + ... + 2986.

2⁴⁶⁵⁰⁴⁰ is an apocalyptic number.

465040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465040 is an abundant number, since it is smaller than the sum of its proper divisors (616364).

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

465040 is a wasteful number, since it uses less digits than its factorization.

465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 465040 is about 681.9384136416. The cubic root of 465040 is about 77.4753303374.

The spelling of 465040 in words is "four hundred sixty-five thousand, forty".