415860 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 106624.

The previous prime is 415823. The next prime is 415861. The reversal of 415860 is 68514.

It is a self number, because there is not a number n which added to its sum of digits gives 415860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴¹⁵⁸⁶⁰ 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 415860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

415860 is an abundant number, since it is smaller than the sum of its proper divisors (793740).

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

415860 is a wasteful number, since it uses less digits than its factorization.

415860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 415860 is about 644.8720803384. The cubic root of 415860 is about 74.6418479730.

It can be divided in two parts, 415 and 860, that added together give a triangular number (1275 = T₅₀).

The spelling of 415860 in words is "four hundred fifteen thousand, eight hundred sixty".