420527988 has 144 divisors (see below), whose sum is σ = 1162936320. Its totient is φ = 127697472.

The previous prime is 420527983. The next prime is 420527999. The reversal of 420527988 is 889725024.

420527988 is a `hidden beast` number, since 42 + 0 + 527 + 9 + 88 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420527983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311181 + ... + 3311307.

Almost surely, 2^420527988 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 420527988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581468160).

420527988 is an abundant number, since it is smaller than the sum of its proper divisors (742408332).

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

420527988 is a wasteful number, since it uses less digits than its factorization.

420527988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 420527988 is about 20506.7790742476. The cubic root of 420527988 is about 749.2009195964.

The spelling of 420527988 in words is "four hundred twenty million, five hundred twenty-seven thousand, nine hundred eighty-eight".