420498432 has 176 divisors, whose sum is σ = 1269467520. Its totient is φ = 137465856.

The previous prime is 420498409. The next prime is 420498439. The reversal of 420498432 is 234894024.

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 (420498439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852303 + ... + 1852529.

Almost surely, 2^420498432 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 420498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634733760).

420498432 is an abundant number, since it is smaller than the sum of its proper divisors (848969088).

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

420498432 is a wasteful number, since it uses less digits than its factorization.

420498432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420498432 is about 20506.0584218421. The cubic root of 420498432 is about 749.1833671371.

The spelling of 420498432 in words is "four hundred twenty million, four hundred ninety-eight thousand, four hundred thirty-two".