420642432 has 96 divisors (see below), whose sum is σ = 1383389280. Its totient is φ = 120181248.

The previous prime is 420642403. The next prime is 420642457. The reversal of 420642432 is 234246024.

420642432 is a `hidden beast` number, since 4 + 206 + 424 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 420642396 and 420642405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18018 + ... + 34145.

It is an arithmetic number, because the mean of its divisors is an integer number (14410305).

Almost surely, 2^420642432 is an apocalyptic number.

420642432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420642432 is an abundant number, since it is smaller than the sum of its proper divisors (962746848).

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

420642432 is a wasteful number, since it uses less digits than its factorization.

420642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52190 (or 52175 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 420642432 is about 20509.5692787538. The cubic root of 420642432 is about 749.2688768435.

Adding to 420642432 its reverse (234246024), we get a palindrome (654888456).

The spelling of 420642432 in words is "four hundred twenty million, six hundred forty-two thousand, four hundred thirty-two".