413402420 has 24 divisors (see below), whose sum is σ = 870168264. Its totient is φ = 164975616.

The previous prime is 413402351. The next prime is 413402449. The reversal of 413402420 is 24204314.

It can be written as a sum of positive squares in 4 ways, for example, as 13162384 + 400240036 = 3628^2 + 20006^2 .

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 = 413402392 and 413402401.

It is a congruent number.

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, 15209 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (36257011).

Almost surely, 2^413402420 is an apocalyptic number.

It is an amenable number.

413402420 is an abundant number, since it is smaller than the sum of its proper divisors (456765844).

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

413402420 is a wasteful number, since it uses less digits than its factorization.

413402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48179 (or 48177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 413402420 is about 20332.2999190942. The cubic root of 413402420 is about 744.9452206618.

Adding to 413402420 its reverse (24204314), we get a palindrome (437606734).

The spelling of 413402420 in words is "four hundred thirteen million, four hundred two thousand, four hundred twenty".