413531820 has 144 divisors (see below), whose sum is σ = 1368581760. Its totient is φ = 100459008.

The previous prime is 413531819. The next prime is 413531821. The reversal of 413531820 is 28135314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413531819) and next prime (413531821).

It is not an unprimeable number, because it can be changed into a prime (413531821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183742 + ... + 185978.

It is an arithmetic number, because the mean of its divisors is an integer number (9504040).

Almost surely, 2^413531820 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 413531820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684290880).

413531820 is an abundant number, since it is smaller than the sum of its proper divisors (955049940).

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

413531820 is a wasteful number, since it uses less digits than its factorization.

413531820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 413531820 is about 20335.4817990624. The cubic root of 413531820 is about 745.0229382004.

The spelling of 413531820 in words is "four hundred thirteen million, five hundred thirty-one thousand, eight hundred twenty".