413076420 has 144 divisors (see below), whose sum is σ = 1291949568. Its totient is φ = 106778880.

The previous prime is 413076409. The next prime is 413076427. The reversal of 413076420 is 24670314.

413076420 is a `hidden beast` number, since 4 + 13 + 0 + 7 + 642 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (413076427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328065 + ... + 1328375.

It is an arithmetic number, because the mean of its divisors is an integer number (8971872).

Almost surely, 2^413076420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413076420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645974784).

413076420 is an abundant number, since it is smaller than the sum of its proper divisors (878873148).

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

413076420 is a wasteful number, since it uses less digits than its factorization.

413076420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413076420 is about 20324.2815371171. The cubic root of 413076420 is about 744.7493533953.

The spelling of 413076420 in words is "four hundred thirteen million, seventy-six thousand, four hundred twenty".