410042100 has 144 divisors (see below), whose sum is σ = 1305416448. Its totient is φ = 98741760.

The previous prime is 410042093. The next prime is 410042117. The reversal of 410042100 is 1240014.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 182182 + ... + 184418.

It is an arithmetic number, because the mean of its divisors is an integer number (9065392).

Almost surely, 2^410042100 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 410042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652708224).

410042100 is an abundant number, since it is smaller than the sum of its proper divisors (895374348).

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

410042100 is a wasteful number, since it uses less digits than its factorization.

410042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 410042100 is about 20249.4962900315. The cubic root of 410042100 is about 742.9213108490.

Adding to 410042100 its reverse (1240014), we get a palindrome (411282114).

The spelling of 410042100 in words is "four hundred ten million, forty-two thousand, one hundred".