420115410 has 336 divisors, whose sum is σ = 1382531328. Its totient is φ = 90979200.

The previous prime is 420115369. The next prime is 420115417. The reversal of 420115410 is 14511024.

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

It is not an unprimeable number, because it can be changed into a prime (420115417) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13552095 + ... + 13552125.

Almost surely, 2^420115410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420115410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691265664).

420115410 is an abundant number, since it is smaller than the sum of its proper divisors (962415918).

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

420115410 is a wasteful number, since it uses less digits than its factorization.

420115410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 420115410 is about 20496.7170542016. The cubic root of 420115410 is about 748.9558269448.

Adding to 420115410 its reverse (14511024), we get a palindrome (434626434).

The spelling of 420115410 in words is "four hundred twenty million, one hundred fifteen thousand, four hundred ten".