413003153220 has 288 divisors, whose sum is σ = 1373295845376. Its totient is φ = 92447712000.

The previous prime is 413003153203. The next prime is 413003153239. The reversal of 413003153220 is 22351300314.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31513189 + ... + 31526291.

It is an arithmetic number, because the mean of its divisors is an integer number (4768388352).

Almost surely, 2^413003153220 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 413003153220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686647922688).

413003153220 is an abundant number, since it is smaller than the sum of its proper divisors (960292692156).

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

413003153220 is a wasteful number, since it uses less digits than its factorization.

413003153220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13351 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 413003153220 its reverse (22351300314), we get a palindrome (435354453534).

The spelling of 413003153220 in words is "four hundred thirteen billion, three million, one hundred fifty-three thousand, two hundred twenty".