420981632 has 128 divisors (see below), whose sum is σ = 940032000. Its totient is φ = 186955776.

The previous prime is 420981623. The next prime is 420981641. The reversal of 420981632 is 236189024.

It is an interprime number because it is at equal distance from previous prime (420981623) and next prime (420981641).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 420981592 and 420981601.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3314753 + ... + 3314879.

It is an arithmetic number, because the mean of its divisors is an integer number (7344000).

Almost surely, 2^420981632 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 420981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470016000).

420981632 is an abundant number, since it is smaller than the sum of its proper divisors (519050368).

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

420981632 is a wasteful number, since it uses less digits than its factorization.

420981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 420981632 is about 20517.8369230287. The cubic root of 420981632 is about 749.4702226101.

The spelling of 420981632 in words is "four hundred twenty million, nine hundred eighty-one thousand, six hundred thirty-two".