427987952 has 60 divisors (see below), whose sum is σ = 973348416. Its totient is φ = 181762560.

The previous prime is 427987927. The next prime is 427987961. The reversal of 427987952 is 259789724.

It is a junction number, because it is equal to n+sod(n) for n = 427987894 and 427987903.

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 11 ways as a sum of consecutive naturals, for example, 86177 + ... + 91007.

Almost surely, 2^427987952 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 427987952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486674208).

427987952 is an abundant number, since it is smaller than the sum of its proper divisors (545360464).

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

427987952 is a wasteful number, since it uses less digits than its factorization.

427987952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4953 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 53.

The square root of 427987952 is about 20687.8696824975. The cubic root of 427987952 is about 753.6051329958.

The spelling of 427987952 in words is "four hundred twenty-seven million, nine hundred eighty-seven thousand, nine hundred fifty-two".