410130144 has 72 divisors (see below), whose sum is σ = 1177296120. Its totient is φ = 135422208.

The previous prime is 410130139. The next prime is 410130167. The reversal of 410130144 is 441031014.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 24162 + ... + 37470.

It is an arithmetic number, because the mean of its divisors is an integer number (16351335).

Almost surely, 2^410130144 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 410130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588648060).

410130144 is an abundant number, since it is smaller than the sum of its proper divisors (767165976).

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

410130144 is a wasteful number, since it uses less digits than its factorization.

410130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 410130144 is about 20251.6701533478. The cubic root of 410130144 is about 742.9744802535.

Adding to 410130144 its reverse (441031014), we get a palindrome (851161158).

The spelling of 410130144 in words is "four hundred ten million, one hundred thirty thousand, one hundred forty-four".