427372929 has 15 divisors (see below), whose sum is σ = 638699347. Its totient is φ = 284791248.

The previous prime is 427372861. The next prime is 427372949. The reversal of 427372929 is 929273724.

The square root of 427372929 is 20673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 200930625 + 226442304 = 14175^2 + 15048^2 .

It is not a de Polignac number, because 427372929 - 2⁷ = 427372801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427372949) 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 14 ways as a sum of consecutive naturals, for example, 184909 + ... + 187205.

Almost surely, 2^427372929 is an apocalyptic number.

427372929 is the 20673-rd square number.

427372929 is the 10337-th centered octagonal number.

It is an amenable number.

427372929 is a deficient number, since it is larger than the sum of its proper divisors (211326418).

427372929 is an frugal number, since it uses more digits than its factorization.

427372929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 2300 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The cubic root of 427372929 is about 753.2439805571.

The spelling of 427372929 in words is "four hundred twenty-seven million, three hundred seventy-two thousand, nine hundred twenty-nine".