411093920 has 48 divisors (see below), whose sum is σ = 978905088. Its totient is φ = 163134720.

The previous prime is 411093919. The next prime is 411093929. The reversal of 411093920 is 29390114.

It is a happy number.

It is a super-2 number, since 2×411093920² = 337996422121932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (411093929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10205 + ... + 30435.

It is an arithmetic number, because the mean of its divisors is an integer number (20393856).

Almost surely, 2^411093920 is an apocalyptic number.

411093920 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 411093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489452544).

411093920 is an abundant number, since it is smaller than the sum of its proper divisors (567811168).

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

411093920 is a wasteful number, since it uses less digits than its factorization.

411093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20373 (or 20365 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 411093920 is about 20275.4511663736. The cubic root of 411093920 is about 743.5560036367.

The spelling of 411093920 in words is "four hundred eleven million, ninety-three thousand, nine hundred twenty".