415984 has 10 divisors (see below), whose sum is σ = 806000. Its totient is φ = 207984.

The previous prime is 415979. The next prime is 415993. The reversal of 415984 is 489514.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12984 + ... + 13015.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2⁴¹⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

415984 is a deficient number, since it is larger than the sum of its proper divisors (390016).

415984 is a wasteful number, since it uses less digits than its factorization.

415984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26007 (or 26001 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 415984 is about 644.9682162712. The cubic root of 415984 is about 74.6492660699.

It can be divided in two parts, 4 and 15984, that multiplied together give a palindrome (63936).

The spelling of 415984 in words is "four hundred fifteen thousand, nine hundred eighty-four".