411401000 has 128 divisors (see below), whose sum is σ = 1038735360. Its totient is φ = 152064000.

The previous prime is 411400981. The next prime is 411401009. The reversal of 411401000 is 104114.

It is not an unprimeable number, because it can be changed into a prime (411401009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712712 + ... + 713288.

It is an arithmetic number, because the mean of its divisors is an integer number (8115120).

Almost surely, 2^411401000 is an apocalyptic number.

411401000 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 411401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519367680).

411401000 is an abundant number, since it is smaller than the sum of its proper divisors (627334360).

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

411401000 is a wasteful number, since it uses less digits than its factorization.

411401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 411401000 is about 20283.0224572178. The cubic root of 411401000 is about 743.7410986859.

Adding to 411401000 its reverse (104114), we get a palindrome (411505114).

It can be divided in two parts, 41 and 1401000, that added together give a palindrome (1401041).

The spelling of 411401000 in words is "four hundred eleven million, four hundred one thousand".