411628400 has 60 divisors (see below), whose sum is σ = 994635000. Its totient is φ = 163703040.

The previous prime is 411628381. The next prime is 411628411. The reversal of 411628400 is 4826114.

It is a self number, because there is not a number n which added to its sum of digits gives 411628400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68726 + ... + 74474.

It is an arithmetic number, because the mean of its divisors is an integer number (16577250).

Almost surely, 2^411628400 is an apocalyptic number.

411628400 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 411628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497317500).

411628400 is an abundant number, since it is smaller than the sum of its proper divisors (583006600).

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

411628400 is a wasteful number, since it uses less digits than its factorization.

411628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 411628400 is about 20288.6273562309. The cubic root of 411628400 is about 743.8781065963.

The spelling of 411628400 in words is "four hundred eleven million, six hundred twenty-eight thousand, four hundred".