420131008 has 56 divisors (see below), whose sum is σ = 911985984. Its totient is φ = 190444800.

The previous prime is 420130999. The next prime is 420131039. The reversal of 420131008 is 800131024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384543 + ... + 385633.

It is an arithmetic number, because the mean of its divisors is an integer number (16285464).

Almost surely, 2^420131008 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 420131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455992992).

420131008 is an abundant number, since it is smaller than the sum of its proper divisors (491854976).

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

420131008 is a wasteful number, since it uses less digits than its factorization.

420131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 420131008 is about 20497.0975506290. The cubic root of 420131008 is about 748.9650958807.

The spelling of 420131008 in words is "four hundred twenty million, one hundred thirty-one thousand, eight".