420338961 has 48 divisors (see below), whose sum is σ = 727474176. Its totient is φ = 228669408.

The previous prime is 420338939. The next prime is 420338969. The reversal of 420338961 is 169833024.

It is not a de Polignac number, because 420338961 - 2¹³ = 420330769 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420338969) 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, 380536 + ... + 381638.

It is an arithmetic number, because the mean of its divisors is an integer number (15155712).

Almost surely, 2^420338961 is an apocalyptic number.

It is an amenable number.

420338961 is a deficient number, since it is larger than the sum of its proper divisors (307135215).

420338961 is a wasteful number, since it uses less digits than its factorization.

420338961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 420338961 is about 20502.1696656720. The cubic root of 420338961 is about 749.0886476979.

The spelling of 420338961 in words is "four hundred twenty million, three hundred thirty-eight thousand, nine hundred sixty-one".