420855732 has 72 divisors (see below), whose sum is σ = 1180277280. Its totient is φ = 125363520.

The previous prime is 420855713. The next prime is 420855737. The reversal of 420855732 is 237558024.

420855732 is a `hidden beast` number, since 4 + 2 + 0 + 85 + 573 + 2 = 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 (420855737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14358 + ... + 32370.

It is an arithmetic number, because the mean of its divisors is an integer number (16392740).

Almost surely, 2^420855732 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 420855732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590138640).

420855732 is an abundant number, since it is smaller than the sum of its proper divisors (759421548).

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

420855732 is a wasteful number, since it uses less digits than its factorization.

420855732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18088 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 420855732 is about 20514.7686314031. The cubic root of 420855732 is about 749.3955022408.

The spelling of 420855732 in words is "four hundred twenty million, eight hundred fifty-five thousand, seven hundred thirty-two".