421909632 has 192 divisors, whose sum is σ = 1280518200. Its totient is φ = 133152768.

The previous prime is 421909601. The next prime is 421909637. The reversal of 421909632 is 236909124.

421909632 is a `hidden beast` number, since 4 + 2 + 19 + 0 + 9 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417139776 + 4769856 = 20424^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (421909637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438698 + ... + 2438870.

Almost surely, 2^421909632 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 421909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640259100).

421909632 is an abundant number, since it is smaller than the sum of its proper divisors (858608568).

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

421909632 is a wasteful number, since it uses less digits than its factorization.

421909632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 421909632 is about 20540.4389437032. The cubic root of 421909632 is about 750.0205221051.

The spelling of 421909632 in words is "four hundred twenty-one million, nine hundred nine thousand, six hundred thirty-two".