420973504 has 112 divisors (see below), whose sum is σ = 988364800. Its totient is φ = 177811200.

The previous prime is 420973489. The next prime is 420973513. The reversal of 420973504 is 405379024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 420973504.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2787829 + ... + 2787979.

Almost surely, 2^420973504 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 420973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494182400).

420973504 is an abundant number, since it is smaller than the sum of its proper divisors (567391296).

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

420973504 is a wasteful number, since it uses less digits than its factorization.

420973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 420973504 is about 20517.6388505110. The cubic root of 420973504 is about 749.4653991746.

The spelling of 420973504 in words is "four hundred twenty million, nine hundred seventy-three thousand, five hundred four".