415820 has 24 divisors (see below), whose sum is σ = 925344. Its totient is φ = 156416.

The previous prime is 415819. The next prime is 415823. The reversal of 415820 is 28514.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 415792 and 415801.

It is not an unprimeable number, because it can be changed into a prime (415823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁴¹⁵⁸²⁰ is an apocalyptic number.

It is an amenable number.

415820 is an abundant number, since it is smaller than the sum of its proper divisors (509524).

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

415820 is a wasteful number, since it uses less digits than its factorization.

415820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 415820 is about 644.8410656898. The cubic root of 415820 is about 74.6394547240.

The spelling of 415820 in words is "four hundred fifteen thousand, eight hundred twenty".