420115401 has 18 divisors (see below), whose sum is σ = 634371738. Its totient is φ = 267896640.

The previous prime is 420115369. The next prime is 420115417. The reversal of 420115401 is 104511024.

It can be written as a sum of positive squares in only one way, i.e., 417139776 + 2975625 = 20424^2 + 1725^2 .

It is not a de Polignac number, because 420115401 - 2⁵ = 420115369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420165401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39360 + ... + 48881.

Almost surely, 2^420115401 is an apocalyptic number.

It is an amenable number.

420115401 is a deficient number, since it is larger than the sum of its proper divisors (214256337).

420115401 is a wasteful number, since it uses less digits than its factorization.

420115401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88293 (or 88267 counting only the distinct ones).

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

The square root of 420115401 is about 20496.7168346543. The cubic root of 420115401 is about 748.9558215966.

Adding to 420115401 its reverse (104511024), we get a palindrome (524626425).

The spelling of 420115401 in words is "four hundred twenty million, one hundred fifteen thousand, four hundred one".