410313420 has 108 divisors (see below), whose sum is σ = 1368123120. Its totient is φ = 99464640.

The previous prime is 410313403. The next prime is 410313437. The reversal of 410313420 is 24313014.

It is an interprime number because it is at equal distance from previous prime (410313403) and next prime (410313437).

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

It is a junction number, because it is equal to n+sod(n) for n = 410313393 and 410313402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12361 + ... + 31199.

Almost surely, 2^410313420 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 410313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684061560).

410313420 is an abundant number, since it is smaller than the sum of its proper divisors (957809700).

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

410313420 is a wasteful number, since it uses less digits than its factorization.

410313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18876 (or 18860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 410313420 is about 20256.1946080699. The cubic root of 410313420 is about 743.0851354641.

Adding to 410313420 its reverse (24313014), we get a palindrome (434626434).

The spelling of 410313420 in words is "four hundred ten million, three hundred thirteen thousand, four hundred twenty".