411042400 has 72 divisors (see below), whose sum is σ = 1020028464. Its totient is φ = 161702400.

The previous prime is 411042397. The next prime is 411042419. The reversal of 411042400 is 4240114.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44589 + ... + 53011.

It is an arithmetic number, because the mean of its divisors is an integer number (14167062).

Almost surely, 2^411042400 is an apocalyptic number.

411042400 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 411042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510014232).

411042400 is an abundant number, since it is smaller than the sum of its proper divisors (608986064).

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

411042400 is a wasteful number, since it uses less digits than its factorization.

411042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8491 counting only the distinct ones).

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

The square root of 411042400 is about 20274.1806246270. The cubic root of 411042400 is about 743.5249404953.

Adding to 411042400 its reverse (4240114), we get a palindrome (415282514).

It can be divided in two parts, 41 and 1042400, that added together give a square (1042441 = 1021²).

The spelling of 411042400 in words is "four hundred eleven million, forty-two thousand, four hundred".