410030120 has 64 divisors (see below), whose sum is σ = 940410000. Its totient is φ = 160872448.

The previous prime is 410030111. The next prime is 410030141. The reversal of 410030120 is 21030014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1747684 + 408282436 = 1322^2 + 20206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530054 + ... + 530826.

Almost surely, 2^410030120 is an apocalyptic number.

410030120 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 410030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470205000).

410030120 is an abundant number, since it is smaller than the sum of its proper divisors (530379880).

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

410030120 is a wasteful number, since it uses less digits than its factorization.

410030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 410030120 is about 20249.2004780436. The cubic root of 410030120 is about 742.9140755887.

Adding to 410030120 its reverse (21030014), we get a palindrome (431060134).

The spelling of 410030120 in words is "four hundred ten million, thirty thousand, one hundred twenty".