411130400 has 72 divisors (see below), whose sum is σ = 1011591504. Its totient is φ = 163155200.

The previous prime is 411130373. The next prime is 411130441. The reversal of 411130400 is 4031114.

It is a happy 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, 102839 + ... + 106761.

It is an arithmetic number, because the mean of its divisors is an integer number (14049882).

Almost surely, 2^411130400 is an apocalyptic number.

411130400 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 411130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505795752).

411130400 is an abundant number, since it is smaller than the sum of its proper divisors (600461104).

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

411130400 is a wasteful number, since it uses less digits than its factorization.

411130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 411130400 is about 20276.3507564848. The cubic root of 411130400 is about 743.5779970867.

Adding to 411130400 its reverse (4031114), we get a palindrome (415161514).

The spelling of 411130400 in words is "four hundred eleven million, one hundred thirty thousand, four hundred".