464599008225 has 351 divisors, whose sum is σ = 1009015304521. Its totient is φ = 212009529600.

The previous prime is 464599008193. The next prime is 464599008241. The reversal of 464599008225 is 522800995464.

The square root of 464599008225 is 681615.

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

464599008225 is a `hidden beast` number, since 4 + 6 + 459 + 90 + 0 + 82 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10867437009 + 453731571216 = 104247^2 + 673596^2 .

It is not a de Polignac number, because 464599008225 - 2⁵ = 464599008193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 27329353417 + ... + 27329353433.

Almost surely, 2^464599008225 is an apocalyptic number.

464599008225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

464599008225 is the 681615-th square number.

464599008225 is the 340808-th centered octagonal number.

It is an amenable number.

464599008225 is an abundant number, since it is smaller than the sum of its proper divisors (544416296296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464599008225 is an frugal number, since it uses more digits than its factorization.

464599008225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 464599008225 in words is "four hundred sixty-four billion, five hundred ninety-nine million, eight thousand, two hundred twenty-five".