413052020 has 48 divisors (see below), whose sum is σ = 916755840. Its totient is φ = 155892096.

The previous prime is 413052011. The next prime is 413052037. The reversal of 413052020 is 20250314.

It is a super-2 number, since 2×413052020² = 341223942452160800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413052020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97874 + ... + 102006.

It is an arithmetic number, because the mean of its divisors is an integer number (19099080).

Almost surely, 2^413052020 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 413052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458377920).

413052020 is an abundant number, since it is smaller than the sum of its proper divisors (503703820).

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

413052020 is a wasteful number, since it uses less digits than its factorization.

413052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 413052020 is about 20323.6812610314. The cubic root of 413052020 is about 744.7346892467.

The spelling of 413052020 in words is "four hundred thirteen million, fifty-two thousand, twenty".