488984769 has 99 divisors (see below), whose sum is σ = 923904963. Its totient is φ = 257926032.

The previous prime is 488984759. The next prime is 488984801. The reversal of 488984769 is 967489884.

The square root of 488984769 is 22113.

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

488984769 is a `hidden beast` number, since 488 + 9 + 84 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 416649744 = 8505^2 + 20412^2 .

It is not a de Polignac number, because 488984769 - 2¹¹ = 488982721 is a prime.

It is a super-2 number, since 2×488984769² = 478212208627966722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (488984759) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 37614207 + ... + 37614219.

Almost surely, 2^488984769 is an apocalyptic number.

488984769 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

488984769 is the 22113-rd square number.

488984769 is the 11057-th centered octagonal number.

It is an amenable number.

488984769 is a deficient number, since it is larger than the sum of its proper divisors (434920194).

488984769 is an frugal number, since it uses more digits than its factorization.

488984769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The cubic root of 488984769 is about 787.8286628136.

The spelling of 488984769 in words is "four hundred eighty-eight million, nine hundred eighty-four thousand, seven hundred sixty-nine".