413000820 has 36 divisors (see below), whose sum is σ = 1252769700. Its totient is φ = 110133504.

The previous prime is 413000807. The next prime is 413000869. The reversal of 413000820 is 28000314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 283450896 = 11382^2 + 16836^2 .

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 = 413000793 and 413000802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147045 + ... + 1147404.

Almost surely, 2^413000820 is an apocalyptic number.

It is an amenable number.

413000820 is an abundant number, since it is smaller than the sum of its proper divisors (839768880).

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

413000820 is a wasteful number, since it uses less digits than its factorization.

413000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294464 (or 2294459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413000820 is about 20322.4216076726. The cubic root of 413000820 is about 744.7039166968.

The spelling of 413000820 in words is "four hundred thirteen million, eight hundred twenty", and thus it is an aban number.