420231960 has 192 divisors, whose sum is σ = 1422308160. Its totient is φ = 107520000.

The previous prime is 420231901. The next prime is 420231967. The reversal of 420231960 is 69132024.

420231960 is a `hidden beast` number, since 420 + 231 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420231967) 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, 1047760 + ... + 1048160.

It is an arithmetic number, because the mean of its divisors is an integer number (7407855).

Almost surely, 2^420231960 is an apocalyptic number.

420231960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420231960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711154080).

420231960 is an abundant number, since it is smaller than the sum of its proper divisors (1002076200).

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

420231960 is a wasteful number, since it uses less digits than its factorization.

420231960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 420231960 is about 20499.5599952779. The cubic root of 420231960 is about 749.0250799236.

Adding to 420231960 its reverse (69132024), we get a palindrome (489363984).

The spelling of 420231960 in words is "four hundred twenty million, two hundred thirty-one thousand, nine hundred sixty".