411002020 has 96 divisors (see below), whose sum is σ = 1022668416. Its totient is φ = 136780800.

The previous prime is 411002017. The next prime is 411002021. The reversal of 411002020 is 20200114.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 411001988 and 411002006.

It is not an unprimeable number, because it can be changed into a prime (411002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374112 + ... + 375208.

It is an arithmetic number, because the mean of its divisors is an integer number (10652796).

Almost surely, 2^411002020 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 411002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511334208).

411002020 is an abundant number, since it is smaller than the sum of its proper divisors (611666396).

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

411002020 is a wasteful number, since it uses less digits than its factorization.

411002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 411002020 is about 20273.1847522781. The cubic root of 411002020 is about 743.5005922202.

Adding to 411002020 its reverse (20200114), we get a palindrome (431202134).

The spelling of 411002020 in words is "four hundred eleven million, two thousand, twenty".