420241608 has 80 divisors (see below), whose sum is σ = 1188904860. Its totient is φ = 138672000.

The previous prime is 420241531. The next prime is 420241663. The reversal of 420241608 is 806142024.

It can be written as a sum of positive squares in 2 ways, for example, as 407151684 + 13089924 = 20178^2 + 3618^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62238 + ... + 68658.

Almost surely, 2^420241608 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 420241608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594452430).

420241608 is an abundant number, since it is smaller than the sum of its proper divisors (768663252).

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

420241608 is a wasteful number, since it uses less digits than its factorization.

420241608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 420241608 is about 20499.7953160513. The cubic root of 420241608 is about 749.0308121059.

The spelling of 420241608 in words is "four hundred twenty million, two hundred forty-one thousand, six hundred eight".