488189025 has 45 divisors (see below), whose sum is σ = 906140323. Its totient is φ = 259837200.

The previous prime is 488189011. The next prime is 488189057. The reversal of 488189025 is 520981884.

It is a happy number.

The square root of 488189025 is 22095.

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., 175748049 + 312440976 = 13257^2 + 17676^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-488189025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 994030 + ... + 994520.

Almost surely, 2^488189025 is an apocalyptic number.

488189025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

488189025 is the 22095-th square number.

488189025 is the 11048-th centered octagonal number.

It is an amenable number.

488189025 is a deficient number, since it is larger than the sum of its proper divisors (417951298).

488189025 is an frugal number, since it uses more digits than its factorization.

488189025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The cubic root of 488189025 is about 787.4010760093.

The spelling of 488189025 in words is "four hundred eighty-eight million, one hundred eighty-nine thousand, twenty-five".