420806688 has 24 divisors (see below), whose sum is σ = 1104617808. Its totient is φ = 140268864.

The previous prime is 420806681. The next prime is 420806707. The reversal of 420806688 is 886608024.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (420806681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2191606 + ... + 2191797.

It is an arithmetic number, because the mean of its divisors is an integer number (46025742).

Almost surely, 2^420806688 is an apocalyptic number.

420806688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420806688 is an abundant number, since it is smaller than the sum of its proper divisors (683811120).

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

420806688 is a wasteful number, since it uses less digits than its factorization.

420806688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383416 (or 4383408 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 420806688 is about 20513.5732625986. The cubic root of 420806688 is about 749.3663910926.

The spelling of 420806688 in words is "four hundred twenty million, eight hundred six thousand, six hundred eighty-eight".