410213120 has 144 divisors (see below), whose sum is σ = 1044156960. Its totient is φ = 154140672.

The previous prime is 410213113. The next prime is 410213123. The reversal of 410213120 is 21312014.

It is a junction number, because it is equal to n+sod(n) for n = 410213095 and 410213104.

It is not an unprimeable number, because it can be changed into a prime (410213123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596032 + ... + 1596288.

It is an arithmetic number, because the mean of its divisors is an integer number (7251090).

Almost surely, 2^410213120 is an apocalyptic number.

410213120 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 410213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522078480).

410213120 is an abundant number, since it is smaller than the sum of its proper divisors (633943840).

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

410213120 is a wasteful number, since it uses less digits than its factorization.

410213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 410213120 is about 20253.7186709009. The cubic root of 410213120 is about 743.0245821494.

Adding to 410213120 its reverse (21312014), we get a palindrome (431525134).

The spelling of 410213120 in words is "four hundred ten million, two hundred thirteen thousand, one hundred twenty".