420963632 has 40 divisors (see below), whose sum is σ = 845184000. Its totient is φ = 202904640.

The previous prime is 420963611. The next prime is 420963649. The reversal of 420963632 is 236369024.

It is a junction number, because it is equal to n+sod(n) for n = 420963592 and 420963601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138869 + ... + 141867.

It is an arithmetic number, because the mean of its divisors is an integer number (21129600).

Almost surely, 2^420963632 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 420963632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422592000).

420963632 is an abundant number, since it is smaller than the sum of its proper divisors (424220368).

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

420963632 is a wasteful number, since it uses less digits than its factorization.

420963632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 420963632 is about 20517.3982756099. The cubic root of 420963632 is about 749.4595407060.

The spelling of 420963632 in words is "four hundred twenty million, nine hundred sixty-three thousand, six hundred thirty-two".