420875808 has 48 divisors (see below), whose sum is σ = 1106280000. Its totient is φ = 140103936.

The previous prime is 420875801. The next prime is 420875813. The reversal of 420875808 is 808578024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420875808.

It is not an unprimeable number, because it can be changed into a prime (420875801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81693 + ... + 86691.

It is an arithmetic number, because the mean of its divisors is an integer number (23047500).

Almost surely, 2^420875808 is an apocalyptic number.

420875808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420875808 is an abundant number, since it is smaller than the sum of its proper divisors (685404192).

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

420875808 is a wasteful number, since it uses less digits than its factorization.

420875808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 420875808 is about 20515.2579315981. The cubic root of 420875808 is about 749.4074181412.

It can be divided in two parts, 42087 and 5808, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 420875808 in words is "four hundred twenty million, eight hundred seventy-five thousand, eight hundred eight".