420948408 has 64 divisors (see below), whose sum is σ = 1090980000. Its totient is φ = 135240192.

The previous prime is 420948377. The next prime is 420948413. The reversal of 420948408 is 804849024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94618 + ... + 98966.

Almost surely, 2^420948408 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 420948408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545490000).

420948408 is an abundant number, since it is smaller than the sum of its proper divisors (670031592).

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

420948408 is a wasteful number, since it uses less digits than its factorization.

420948408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 420948408 is about 20517.0272700506. The cubic root of 420948408 is about 749.4505059512.

The spelling of 420948408 in words is "four hundred twenty million, nine hundred forty-eight thousand, four hundred eight".