420201432 has 256 divisors, whose sum is σ = 1398067200. Its totient is φ = 115893504.

The previous prime is 420201409. The next prime is 420201433. The reversal of 420201432 is 234102024.

420201432 is a `hidden beast` number, since 420 + 201 + 43 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420201433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5756148 + ... + 5756220.

It is an arithmetic number, because the mean of its divisors is an integer number (5461200).

Almost surely, 2^420201432 is an apocalyptic number.

420201432 is a gapful number since it is divisible by the number (42) 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 420201432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699033600).

420201432 is an abundant number, since it is smaller than the sum of its proper divisors (977865768).

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

420201432 is an equidigital number, since it uses as much as digits as its factorization.

420201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

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

The square root of 420201432 is about 20498.8153804067. The cubic root of 420201432 is about 749.0069416939.

Adding to 420201432 its reverse (234102024), we get a palindrome (654303456).

The spelling of 420201432 in words is "four hundred twenty million, two hundred one thousand, four hundred thirty-two".