415260 has 48 divisors (see below), whose sum is σ = 1293600. Its totient is φ = 110592.

The previous prime is 415253. The next prime is 415271. The reversal of 415260 is 62514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

415260 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 15 ways as a sum of consecutive naturals, for example, 156 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (26950).

2⁴¹⁵²⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646800).

415260 is an abundant number, since it is smaller than the sum of its proper divisors (878340).

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

415260 is a wasteful number, since it uses less digits than its factorization.

415260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 415260 is about 644.4067038757. The cubic root of 415260 is about 74.6059331101.

Adding to 415260 its reverse (62514), we get a palindrome (477774).

The spelling of 415260 in words is "four hundred fifteen thousand, two hundred sixty".