420427008 has 108 divisors (see below), whose sum is σ = 1218698208. Its totient is φ = 139392000.

The previous prime is 420426989. The next prime is 420427027. The reversal of 420427008 is 800724024.

It is an interprime number because it is at equal distance from previous prime (420426989) and next prime (420427027).

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 11 ways as a sum of consecutive naturals, for example, 577941 + ... + 578667.

Almost surely, 2^420427008 is an apocalyptic number.

420427008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609349104).

420427008 is an abundant number, since it is smaller than the sum of its proper divisors (798271200).

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

420427008 is a wasteful number, since it uses less digits than its factorization.

420427008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420427008 is about 20504.3168137834. The cubic root of 420427008 is about 749.1409470798.

The spelling of 420427008 in words is "four hundred twenty million, four hundred twenty-seven thousand, eight".