411312420 has 36 divisors (see below), whose sum is σ = 1247648220. Its totient is φ = 109683264.

The previous prime is 411312413. The next prime is 411312431. The reversal of 411312420 is 24213114.

It can be written as a sum of positive squares in 2 ways, for example, as 59074596 + 352237824 = 7686^2 + 18768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 411312393 and 411312402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142355 + ... + 1142714.

It is an arithmetic number, because the mean of its divisors is an integer number (34656895).

Almost surely, 2^411312420 is an apocalyptic number.

It is an amenable number.

411312420 is an abundant number, since it is smaller than the sum of its proper divisors (836335800).

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

411312420 is a wasteful number, since it uses less digits than its factorization.

411312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285084 (or 2285079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 411312420 is about 20280.8387400521. The cubic root of 411312420 is about 743.6877158021.

Adding to 411312420 its reverse (24213114), we get a palindrome (435525534).

The spelling of 411312420 in words is "four hundred eleven million, three hundred twelve thousand, four hundred twenty".