420906904 has 32 divisors (see below), whose sum is σ = 872753040. Its totient is φ = 188697600.

The previous prime is 420906901. The next prime is 420906989. The reversal of 420906904 is 409609024.

It is a self number, because there is not a number n which added to its sum of digits gives 420906904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420906901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26337 + ... + 39184.

Almost surely, 2^420906904 is an apocalyptic number.

420906904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420906904 is an abundant number, since it is smaller than the sum of its proper divisors (451846136).

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

420906904 is a wasteful number, since it uses less digits than its factorization.

420906904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65611 (or 65607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 420906904 is about 20516.0157925461. The cubic root of 420906904 is about 749.4258740996.

The spelling of 420906904 in words is "four hundred twenty million, nine hundred six thousand, nine hundred four".