420654042 has 48 divisors (see below), whose sum is σ = 933633792. Its totient is φ = 136818720.

The previous prime is 420654037. The next prime is 420654049. The reversal of 420654042 is 240456024.

420654042 is a `hidden beast` number, since 4 + 2 + 0 + 654 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420653997 and 420654015.

It is not an unprimeable number, because it can be changed into a prime (420654049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411492 + ... + 412512.

It is an arithmetic number, because the mean of its divisors is an integer number (19450704).

Almost surely, 2^420654042 is an apocalyptic number.

420654042 is an abundant number, since it is smaller than the sum of its proper divisors (512979750).

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

420654042 is a wasteful number, since it uses less digits than its factorization.

420654042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 420654042 is about 20509.8523154117. The cubic root of 420654042 is about 749.2757702134.

The spelling of 420654042 in words is "four hundred twenty million, six hundred fifty-four thousand, forty-two".