420556032 has 216 divisors, whose sum is σ = 1376429600. Its totient is φ = 122425344.

The previous prime is 420555977. The next prime is 420556043. The reversal of 420556032 is 230655024.

420556032 is a `hidden beast` number, since 4 + 2 + 0 + 55 + 603 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420555987 and 420556005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568719 + ... + 569457.

Almost surely, 2^420556032 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 420556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688214800).

420556032 is an abundant number, since it is smaller than the sum of its proper divisors (955873568).

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

420556032 is a wasteful number, since it uses less digits than its factorization.

420556032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 420556032 is about 20507.4628367334. The cubic root of 420556032 is about 749.2175733619.

The spelling of 420556032 in words is "four hundred twenty million, five hundred fifty-six thousand, thirty-two".