415856 has 40 divisors (see below), whose sum is σ = 952320. Its totient is φ = 172224.

The previous prime is 415823. The next prime is 415861. The reversal of 415856 is 658514.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5225 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁴¹⁵⁸⁵⁶ 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 415856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476160).

415856 is an abundant number, since it is smaller than the sum of its proper divisors (536464).

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

415856 is a wasteful number, since it uses less digits than its factorization.

415856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 415856 is about 644.8689789407. The cubic root of 415856 is about 74.6416086550.

The spelling of 415856 in words is "four hundred fifteen thousand, eight hundred fifty-six".