411413000 has 64 divisors (see below), whose sum is σ = 968451120. Its totient is φ = 163584000.

The previous prime is 411412957. The next prime is 411413021. The reversal of 411413000 is 314114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1674436 + 409738564 = 1294^2 + 20242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179864 + ... + 182136.

Almost surely, 2^411413000 is an apocalyptic number.

411413000 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 411413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484225560).

411413000 is an abundant number, since it is smaller than the sum of its proper divisors (557038120).

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

411413000 is a wasteful number, since it uses less digits than its factorization.

411413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 411413000 is about 20283.3182689618. The cubic root of 411413000 is about 743.7483299165.

Adding to 411413000 its reverse (314114), we get a palindrome (411727114).

The spelling of 411413000 in words is "four hundred eleven million, four hundred thirteen thousand".