411013400 has 96 divisors (see below), whose sum is σ = 1099081440. Its totient is φ = 140021760.

The previous prime is 411013373. The next prime is 411013423. The reversal of 411013400 is 4310114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241352 + ... + 243048.

It is an arithmetic number, because the mean of its divisors is an integer number (11448765).

Almost surely, 2^411013400 is an apocalyptic number.

411013400 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 411013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549540720).

411013400 is an abundant number, since it is smaller than the sum of its proper divisors (688068040).

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

411013400 is a wasteful number, since it uses less digits than its factorization.

411013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1884 counting only the distinct ones).

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

The square root of 411013400 is about 20273.4654166474. The cubic root of 411013400 is about 743.5074542778.

Adding to 411013400 its reverse (4310114), we get a palindrome (415323514).

The spelling of 411013400 in words is "four hundred eleven million, thirteen thousand, four hundred".