420388608 has 72 divisors (see below), whose sum is σ = 1123120768. Its totient is φ = 139594752.

The previous prime is 420388607. The next prime is 420388643. The reversal of 420388608 is 806883024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420388607) 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, 234885 + ... + 236667.

Almost surely, 2^420388608 is an apocalyptic number.

420388608 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 420388608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561560384).

420388608 is an abundant number, since it is smaller than the sum of its proper divisors (702732160).

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

420388608 is a wasteful number, since it uses less digits than its factorization.

420388608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

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

The square root of 420388608 is about 20503.3804042163. The cubic root of 420388608 is about 749.1181386115.

The spelling of 420388608 in words is "four hundred twenty million, three hundred eighty-eight thousand, six hundred eight".