427632384 has 144 divisors (see below), whose sum is σ = 1188381600. Its totient is φ = 136396800.

The previous prime is 427632343. The next prime is 427632409. The reversal of 427632384 is 483236724.

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, 2869942 + ... + 2870090.

It is an arithmetic number, because the mean of its divisors is an integer number (8252650).

Almost surely, 2^427632384 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 427632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594190800).

427632384 is an abundant number, since it is smaller than the sum of its proper divisors (760749216).

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

427632384 is a wasteful number, since it uses less digits than its factorization.

427632384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 427632384 is about 20679.2742619271. The cubic root of 427632384 is about 753.3963793704.

The spelling of 427632384 in words is "four hundred twenty-seven million, six hundred thirty-two thousand, three hundred eighty-four".