420804096 has 80 divisors (see below), whose sum is σ = 1180132800. Its totient is φ = 132876288.

The previous prime is 420804073. The next prime is 420804103. The reversal of 420804096 is 690408024.

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 7 ways as a sum of consecutive naturals, for example, 21975 + ... + 36393.

It is an arithmetic number, because the mean of its divisors is an integer number (14751660).

Almost surely, 2^420804096 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 420804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590066400).

420804096 is an abundant number, since it is smaller than the sum of its proper divisors (759328704).

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

420804096 is a wasteful number, since it uses less digits than its factorization.

420804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 420804096 is about 20513.5100848197. The cubic root of 420804096 is about 749.3648524909.

The spelling of 420804096 in words is "four hundred twenty million, eight hundred four thousand, ninety-six".