411442000 has 40 divisors (see below), whose sum is σ = 994871592. Its totient is φ = 164576000.

The previous prime is 411441997. The next prime is 411442019. The reversal of 411442000 is 244114.

It can be written as a sum of positive squares in 4 ways, for example, as 4048144 + 407393856 = 2012^2 + 20184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100861 + ... + 104860.

Almost surely, 2^411442000 is an apocalyptic number.

411442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411442000 is an abundant number, since it is smaller than the sum of its proper divisors (583429592).

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

411442000 is a wasteful number, since it uses less digits than its factorization.

411442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205744 (or 205728 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 411442000 is about 20284.0331295332. The cubic root of 411442000 is about 743.7658048097.

Adding to 411442000 its reverse (244114), we get a palindrome (411686114).

The spelling of 411442000 in words is "four hundred eleven million, four hundred forty-two thousand".