415020 has 24 divisors (see below), whose sum is σ = 1162224. Its totient is φ = 110656.

The previous prime is 415013. The next prime is 415031. The reversal of 415020 is 20514.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 414987 and 415005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415020.

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, 3399 + ... + 3518.

It is an arithmetic number, because the mean of its divisors is an integer number (48426).

2⁴¹⁵⁰²⁰ is an apocalyptic number.

It is an amenable number.

415020 is an abundant number, since it is smaller than the sum of its proper divisors (747204).

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

415020 is a wasteful number, since it uses less digits than its factorization.

415020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 415020 is about 644.2204591598. The cubic root of 415020 is about 74.5915574784.

Adding to 415020 its reverse (20514), we get a palindrome (435534).

The spelling of 415020 in words is "four hundred fifteen thousand, twenty".