420403410 has 96 divisors (see below), whose sum is σ = 1261757952. Its totient is φ = 95126400.

The previous prime is 420403409. The next prime is 420403411. The reversal of 420403410 is 14304024.

It is an interprime number because it is at equal distance from previous prime (420403409) and next prime (420403411).

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 (420403411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60327 + ... + 66933.

It is an arithmetic number, because the mean of its divisors is an integer number (13143312).

Almost surely, 2^420403410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420403410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630878976).

420403410 is an abundant number, since it is smaller than the sum of its proper divisors (841354542).

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

420403410 is a wasteful number, since it uses less digits than its factorization.

420403410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420403410 is about 20503.7413659069. The cubic root of 420403410 is about 749.1269307278.

Adding to 420403410 its reverse (14304024), we get a palindrome (434707434).

The spelling of 420403410 in words is "four hundred twenty million, four hundred three thousand, four hundred ten".