411440400 has 360 divisors, whose sum is σ = 1691052480. Its totient is φ = 90639360.

The previous prime is 411440389. The next prime is 411440413. The reversal of 411440400 is 4044114.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730519 + ... + 731081.

It is an arithmetic number, because the mean of its divisors is an integer number (4697368).

Almost surely, 2^411440400 is an apocalyptic number.

411440400 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 411440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845526240).

411440400 is an abundant number, since it is smaller than the sum of its proper divisors (1279612080).

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

411440400 is a wasteful number, since it uses less digits than its factorization.

411440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 411440400 is about 20283.9936896066. The cubic root of 411440400 is about 743.7648406991.

Adding to 411440400 its product of nonzero digits (256), we get a square (411440656 = 20284²).

Adding to 411440400 its reverse (4044114), we get a palindrome (415484514).

It can be divided in two parts, 41 and 1440400, that added together give a palindrome (1440441).

The spelling of 411440400 in words is "four hundred eleven million, four hundred forty thousand, four hundred".