411190020 has 288 divisors, whose sum is σ = 1402826880. Its totient is φ = 100776960.

The previous prime is 411190009. The next prime is 411190027. The reversal of 411190020 is 20091114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411189975 and 411190002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411190027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5632704 + ... + 5632776.

Almost surely, 2^411190020 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 411190020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701413440).

411190020 is an abundant number, since it is smaller than the sum of its proper divisors (991636860).

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

411190020 is a wasteful number, since it uses less digits than its factorization.

411190020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 411190020 is about 20277.8208888431. The cubic root of 411190020 is about 743.6139386253.

The spelling of 411190020 in words is "four hundred eleven million, one hundred ninety thousand, twenty".