411263920 has 80 divisors (see below), whose sum is σ = 1008096192. Its totient is φ = 155724800.

The previous prime is 411263899. The next prime is 411263929. The reversal of 411263920 is 29362114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (411263929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184734 + ... + 186946.

Almost surely, 2^411263920 is an apocalyptic number.

411263920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504048096).

411263920 is an abundant number, since it is smaller than the sum of its proper divisors (596832272).

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

411263920 is a wasteful number, since it uses less digits than its factorization.

411263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 411263920 is about 20279.6429948853. The cubic root of 411263920 is about 743.6584839496.

The spelling of 411263920 in words is "four hundred eleven million, two hundred sixty-three thousand, nine hundred twenty".