420916608 has 256 divisors, whose sum is σ = 1441382400. Its totient is φ = 118444032.

The previous prime is 420916589. The next prime is 420916609. The reversal of 420916608 is 806619024.

420916608 is a `hidden beast` number, since 42 + 0 + 9 + 1 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420916609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072316 + ... + 3072452.

It is an arithmetic number, because the mean of its divisors is an integer number (5630400).

Almost surely, 2^420916608 is an apocalyptic number.

420916608 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 420916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720691200).

420916608 is an abundant number, since it is smaller than the sum of its proper divisors (1020465792).

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

420916608 is a wasteful number, since it uses less digits than its factorization.

420916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 420916608 is about 20516.2522893437. The cubic root of 420916608 is about 749.4316333880.

The spelling of 420916608 in words is "four hundred twenty million, nine hundred sixteen thousand, six hundred eight".