427597824 has 112 divisors (see below), whose sum is σ = 1157557248. Its totient is φ = 140378112.

The previous prime is 427597783. The next prime is 427597829. The reversal of 427597824 is 428795724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (427597829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3121084 + ... + 3121220.

Almost surely, 2^427597824 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 427597824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578778624).

427597824 is an abundant number, since it is smaller than the sum of its proper divisors (729959424).

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

427597824 is a wasteful number, since it uses less digits than its factorization.

427597824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 427597824 is about 20678.4386257764. The cubic root of 427597824 is about 753.3760830588.

The spelling of 427597824 in words is "four hundred twenty-seven million, five hundred ninety-seven thousand, eight hundred twenty-four".