473587583329 has 27 divisors (see below), whose sum is σ = 585321828627. Its totient is φ = 381987783744.

The previous prime is 473587583323. The next prime is 473587583341. The reversal of 473587583329 is 923385785374.

It is a happy number.

The square root of 473587583329 is 688177.

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., 368710056225 + 104877527104 = 607215^2 + 323848^2 .

It is not a de Polignac number, because 473587583329 - 2⁵ = 473587583297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (473587583323) 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, 81890172 + ... + 81895954.

Almost surely, 2^473587583329 is an apocalyptic number.

473587583329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

473587583329 is the 688177-th square number.

473587583329 is the 344089-th centered octagonal number.

It is an amenable number.

473587583329 is a deficient number, since it is larger than the sum of its proper divisors (111734245298).

473587583329 is an frugal number, since it uses more digits than its factorization.

473587583329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11614 (or 5807 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 64.

Multiplying 473587583329 by its sum of digits (64), we get a square (30309605333056 = 5505416²).

The spelling of 473587583329 in words is "four hundred seventy-three billion, five hundred eighty-seven million, five hundred eighty-three thousand, three hundred twenty-nine".