411696400 has 60 divisors (see below), whose sum is σ = 991801972. Its totient is φ = 164229120.

The previous prime is 411696367. The next prime is 411696407. The reversal of 411696400 is 4696114.

It can be written as a sum of positive squares in 6 ways, for example, as 67371264 + 344325136 = 8208^2 + 18556^2 .

It is not an unprimeable number, because it can be changed into a prime (411696407) 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 11 ways as a sum of consecutive naturals, for example, 172012 + ... + 174388.

Almost surely, 2^411696400 is an apocalyptic number.

411696400 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 411696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495900986).

411696400 is an abundant number, since it is smaller than the sum of its proper divisors (580105572).

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

411696400 is a wasteful number, since it uses less digits than its factorization.

411696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 411696400 is about 20290.3031027139. The cubic root of 411696400 is about 743.9190666192.

It can be divided in two parts, 4 and 11696400, that multiplied together give a square (46785600 = 6840²).

The spelling of 411696400 in words is "four hundred eleven million, six hundred ninety-six thousand, four hundred".