420412032 has 320 divisors, whose sum is σ = 1368480960. Its totient is φ = 127733760.

The previous prime is 420412021. The next prime is 420412051. The reversal of 420412032 is 230214024.

420412032 is a `hidden beast` number, since 420 + 41 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420411996 and 420412014.

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 39 ways as a sum of consecutive naturals, for example, 9777003 + ... + 9777045.

It is an arithmetic number, because the mean of its divisors is an integer number (4276503).

Almost surely, 2^420412032 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 420412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684240480).

420412032 is an abundant number, since it is smaller than the sum of its proper divisors (948068928).

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

420412032 is a wasteful number, since it uses less digits than its factorization.

420412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

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

The square root of 420412032 is about 20503.9516191392. The cubic root of 420412032 is about 749.1320519424.

Adding to 420412032 its reverse (230214024), we get a palindrome (650626056).

The spelling of 420412032 in words is "four hundred twenty million, four hundred twelve thousand, thirty-two".