420073808 has 160 divisors (see below), whose sum is σ = 1110786048. Its totient is φ = 148838400.

The previous prime is 420073789. The next prime is 420073811. The reversal of 420073808 is 808370024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648941 + ... + 649587.

Almost surely, 2^420073808 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 420073808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555393024).

420073808 is an abundant number, since it is smaller than the sum of its proper divisors (690712240).

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

420073808 is a wasteful number, since it uses less digits than its factorization.

420073808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 420073808 is about 20495.7021836286. The cubic root of 420073808 is about 748.9311043027.

The spelling of 420073808 in words is "four hundred twenty million, seventy-three thousand, eight hundred eight".