427641032 has 96 divisors (see below), whose sum is σ = 1037272320. Its totient is φ = 163658880.

The previous prime is 427641007. The next prime is 427641059. The reversal of 427641032 is 230146724.

It is a junction number, because it is equal to n+sod(n) for n = 427640986 and 427641004.

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, 156623 + ... + 159329.

It is an arithmetic number, because the mean of its divisors is an integer number (10804920).

Almost surely, 2^427641032 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 427641032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518636160).

427641032 is an abundant number, since it is smaller than the sum of its proper divisors (609631288).

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

427641032 is a wasteful number, since it uses less digits than its factorization.

427641032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 427641032 is about 20679.4833591171. The cubic root of 427641032 is about 753.4014579755.

Adding to 427641032 its reverse (230146724), we get a palindrome (657787756).

The spelling of 427641032 in words is "four hundred twenty-seven million, six hundred forty-one thousand, thirty-two".