415620 has 36 divisors (see below), whose sum is σ = 1261260. Its totient is φ = 110784.

The previous prime is 415609. The next prime is 415627. The reversal of 415620 is 26514.

It is a happy number.

415620 is a `hidden beast` number, since 41 + 5 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 161604 = 504^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 415593 and 415602.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415620.

It is not an unprimeable number, because it can be changed into a prime (415627) by changing a digit.

415620 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 11 ways as a sum of consecutive naturals, for example, 975 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2⁴¹⁵⁶²⁰ is an apocalyptic number.

It is an amenable number.

415620 is an abundant number, since it is smaller than the sum of its proper divisors (845640).

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

415620 is a wasteful number, since it uses less digits than its factorization.

415620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 415620 is about 644.6859700660. The cubic root of 415620 is about 74.6274861759.

It can be divided in two parts, 415 and 620, that added together give a triangular number (1035 = T₄₅).

The spelling of 415620 in words is "four hundred fifteen thousand, six hundred twenty".