415936 has 28 divisors (see below), whose sum is σ = 846328. Its totient is φ = 202752.

The previous prime is 415931. The next prime is 415937. The reversal of 415936 is 639514.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (415931) by changing a digit.

415936 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, 4240 + ... + 4336.

It is an arithmetic number, because the mean of its divisors is an integer number (30226).

2⁴¹⁵⁹³⁶ 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 415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423164).

415936 is an abundant number, since it is smaller than the sum of its proper divisors (430392).

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

415936 is an equidigital number, since it uses as much as digits as its factorization.

415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 415936 is about 644.9310040617. The cubic root of 415936 is about 74.6463947234.

The spelling of 415936 in words is "four hundred fifteen thousand, nine hundred thirty-six".