459731461225 has 9 divisors (see below), whose sum is σ = 570071215767. Its totient is φ = 367782456840.

The previous prime is 459731461183. The next prime is 459731461249. The reversal of 459731461225 is 522164137954.

The square root of 459731461225 is 678035.

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., 165503326041 + 294228135184 = 406821^2 + 542428^2 .

It is not a de Polignac number, because 459731461225 - 2¹¹ = 459731459177 is a prime.

It is a super-2 number, since 2×459731461225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3322372 + ... + 3457978.

Almost surely, 2^459731461225 is an apocalyptic number.

459731461225 is the 678035-th square number.

459731461225 is the 339018-th centered octagonal number.

It is an amenable number.

459731461225 is a deficient number, since it is larger than the sum of its proper divisors (110339754542).

459731461225 is an frugal number, since it uses more digits than its factorization.

459731461225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271224 (or 135612 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

Multiplying 459731461225 by its sum of digits (49), we get a square (22526841600025 = 4746245²).

The spelling of 459731461225 in words is "four hundred fifty-nine billion, seven hundred thirty-one million, four hundred sixty-one thousand, two hundred twenty-five".