427969724 has 72 divisors (see below), whose sum is σ = 948100608. Its totient is φ = 167529600.

The previous prime is 427969721. The next prime is 427969739.

427969724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427969721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256517 + ... + 258179.

It is an arithmetic number, because the mean of its divisors is an integer number (13168064).

Almost surely, 2^427969724 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 427969724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474050304).

427969724 is an abundant number, since it is smaller than the sum of its proper divisors (520130884).

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

427969724 is a wasteful number, since it uses less digits than its factorization.

427969724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 427969724 is about 20687.4291297880. The cubic root of 427969724 is about 753.5944341670.

The spelling of 427969724 in words is "four hundred twenty-seven million, nine hundred sixty-nine thousand, seven hundred twenty-four".