415976 has 32 divisors (see below), whose sum is σ = 885600. Its totient is φ = 181440.

The previous prime is 415969. The next prime is 415979. The reversal of 415976 is 679514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (415979) by changing a digit.

415976 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 7 ways as a sum of consecutive naturals, for example, 2471 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (27675).

2⁴¹⁵⁹⁷⁶ 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 415976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442800).

415976 is an abundant number, since it is smaller than the sum of its proper divisors (469624).

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

415976 is a wasteful number, since it uses less digits than its factorization.

415976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 415976 is about 644.9620143853. The cubic root of 415976 is about 74.6487875275.

The spelling of 415976 in words is "four hundred fifteen thousand, nine hundred seventy-six".