420604064 has 48 divisors (see below), whose sum is σ = 873744480. Its totient is φ = 198754560.

The previous prime is 420604057. The next prime is 420604087. The reversal of 420604064 is 460406024.

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, 492662 + ... + 493514.

It is an arithmetic number, because the mean of its divisors is an integer number (18203010).

Almost surely, 2^420604064 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 420604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436872240).

420604064 is an abundant number, since it is smaller than the sum of its proper divisors (453140416).

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

420604064 is a wasteful number, since it uses less digits than its factorization.

420604064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 420604064 is about 20508.6338891697. The cubic root of 420604064 is about 749.2460951647.

The spelling of 420604064 in words is "four hundred twenty million, six hundred four thousand, sixty-four".