488630358441 has 45 divisors (see below), whose sum is σ = 738187808853. Its totient is φ = 322108876800.

The previous prime is 488630358431. The next prime is 488630358451. The reversal of 488630358441 is 144853036884.

It is a happy number.

The square root of 488630358441 is 699021.

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

488630358441 is a `hidden beast` number, since 48 + 86 + 30 + 3 + 58 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (488630358431) and next prime (488630358451).

It can be written as a sum of positive squares in 4 ways, for example, as 102765766041 + 385864592400 = 320571^2 + 621180^2 .

It is not a de Polignac number, because 488630358441 - 2¹¹ = 488630356393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (488630358431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 635409705 + ... + 635410473.

Almost surely, 2^488630358441 is an apocalyptic number.

488630358441 is the 699021-st square number.

488630358441 is the 349511-st centered octagonal number.

It is an amenable number.

488630358441 is a deficient number, since it is larger than the sum of its proper divisors (249557450412).

488630358441 is an frugal number, since it uses more digits than its factorization.

488630358441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 488630358441 in words is "four hundred eighty-eight billion, six hundred thirty million, three hundred fifty-eight thousand, four hundred forty-one".