420864432 has 80 divisors (see below), whose sum is σ = 1132689408. Its totient is φ = 134507520.

The previous prime is 420864397. The next prime is 420864449. The reversal of 420864432 is 234468024.

It is a junction number, because it is equal to n+sod(n) for n = 420864393 and 420864402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166893 + ... + 169395.

Almost surely, 2^420864432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420864432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566344704).

420864432 is an abundant number, since it is smaller than the sum of its proper divisors (711824976).

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

420864432 is a wasteful number, since it uses less digits than its factorization.

420864432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 420864432 is about 20514.9806726694. The cubic root of 420864432 is about 749.4006660816.

The spelling of 420864432 in words is "four hundred twenty million, eight hundred sixty-four thousand, four hundred thirty-two".