437520889 has 9 divisors (see below), whose sum is σ = 474059853. Its totient is φ = 403614432.

The previous prime is 437520869. The next prime is 437520899. The reversal of 437520889 is 988025734.

The square root of 437520889 is 20917.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25755625 + 411765264 = 5075^2 + 20292^2 .

It is not a de Polignac number, because 437520889 - 2¹⁷ = 437389817 is a prime.

It is a super-2 number, since 2×437520889² = 382849056622700642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (437520859) 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 8 ways as a sum of consecutive naturals, for example, 271117 + ... + 272725.

It is an arithmetic number, because the mean of its divisors is an integer number (52673317).

Almost surely, 2^437520889 is an apocalyptic number.

437520889 is the 20917-th square number.

437520889 is the 10459-th centered octagonal number.

It is an amenable number.

437520889 is a deficient number, since it is larger than the sum of its proper divisors (36538964).

437520889 is an frugal number, since it uses more digits than its factorization.

437520889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The cubic root of 437520889 is about 759.1593249303.

The spelling of 437520889 in words is "four hundred thirty-seven million, five hundred twenty thousand, eight hundred eighty-nine".