411745400 has 96 divisors (see below), whose sum is σ = 1050468480. Its totient is φ = 148848000.

The previous prime is 411745391. The next prime is 411745403. The reversal of 411745400 is 4547114.

It is a self number, because there is not a number n which added to its sum of digits gives 411745400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411745403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463757 + ... + 464643.

It is an arithmetic number, because the mean of its divisors is an integer number (10942380).

Almost surely, 2^411745400 is an apocalyptic number.

411745400 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 411745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525234240).

411745400 is an abundant number, since it is smaller than the sum of its proper divisors (638723080).

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

411745400 is a wasteful number, since it uses less digits than its factorization.

411745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 411745400 is about 20291.5105401249. The cubic root of 411745400 is about 743.9485791340.

The spelling of 411745400 in words is "four hundred eleven million, seven hundred forty-five thousand, four hundred".