420947289 has 27 divisors (see below), whose sum is σ = 708030687. Its totient is φ = 240295104.

The previous prime is 420947279. The next prime is 420947323. The reversal of 420947289 is 982749024.

The square root of 420947289 is 20517.

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., 393824025 + 27123264 = 19845^2 + 5208^2 .

It is not a de Polignac number, because 420947289 - 2⁷ = 420947161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420947279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430369 + ... + 431345.

Almost surely, 2^420947289 is an apocalyptic number.

420947289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

420947289 is the 20517-th square number.

420947289 is the 10259-th centered octagonal number.

It is an amenable number.

420947289 is a deficient number, since it is larger than the sum of its proper divisors (287083398).

420947289 is an frugal number, since it uses more digits than its factorization.

420947289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 420947289 is about 749.4498418667.

The spelling of 420947289 in words is "four hundred twenty million, nine hundred forty-seven thousand, two hundred eighty-nine".