460154624976225 has 81 divisors (see below), whose sum is σ = 828871651605387. Its totient is φ = 244029021840000.

The previous prime is 460154624976223. The next prime is 460154624976271. The reversal of 460154624976225 is 522679426451064.

The square root of 460154624976225 is 21451215.

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

460154624976225 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 5 + 4 + 62 + 497 + 62 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 449190764962641 + 10963860013584 = 21194121^2 + 3311172^2 .

It is not a de Polignac number, because 460154624976225 - 2¹ = 460154624976223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460154624976223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58240044775 + ... + 58240052675.

Almost surely, 2^{460154624976225} is an apocalyptic number.

460154624976225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460154624976225 is the 21451215-th square number.

460154624976225 is the 10725608-th centered octagonal number.

It is an amenable number.

460154624976225 is a deficient number, since it is larger than the sum of its proper divisors (368717026629162).

460154624976225 is an frugal number, since it uses more digits than its factorization.

460154624976225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 460154624976225 in words is "four hundred sixty trillion, one hundred fifty-four billion, six hundred twenty-four million, nine hundred seventy-six thousand, two hundred twenty-five".