415460 has 12 divisors (see below), whose sum is σ = 872508. Its totient is φ = 166176.

The previous prime is 415447. The next prime is 415469. The reversal of 415460 is 64514.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 128164 = 536^2 + 358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20773 = 415460 / (4 + 1 + 5 + 4 + 6 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415469) by changing a digit.

415460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10367 + ... + 10406.

It is an arithmetic number, because the mean of its divisors is an integer number (72709).

2⁴¹⁵⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

415460 is an abundant number, since it is smaller than the sum of its proper divisors (457048).

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

415460 is a wasteful number, since it uses less digits than its factorization.

415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20782 (or 20780 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 415460 is about 644.5618666971. The cubic root of 415460 is about 74.6179085727.

Adding to 415460 its reverse (64514), we get a palindrome (479974).

The spelling of 415460 in words is "four hundred fifteen thousand, four hundred sixty".