411420100 has 144 divisors (see below), whose sum is σ = 1137427200. Its totient is φ = 125637120.

The previous prime is 411420089. The next prime is 411420137. The reversal of 411420100 is 1024114.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263121 + ... + 264679.

It is an arithmetic number, because the mean of its divisors is an integer number (7898800).

Almost surely, 2^411420100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

411420100 is an abundant number, since it is smaller than the sum of its proper divisors (726007100).

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

411420100 is a wasteful number, since it uses less digits than its factorization.

411420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 411420100 is about 20283.4932888790. The cubic root of 411420100 is about 743.7526083283.

Adding to 411420100 its reverse (1024114), we get a palindrome (412444214).

The spelling of 411420100 in words is "four hundred eleven million, four hundred twenty thousand, one hundred".