496977849 has 15 divisors (see below), whose sum is σ = 742698847. Its totient is φ = 331184808.

The previous prime is 496977841. The next prime is 496977857. The reversal of 496977849 is 948779694.

The square root of 496977849 is 22293.

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

It is an interprime number because it is at equal distance from previous prime (496977841) and next prime (496977857).

It can be written as a sum of positive squares in only one way, i.e., 249482025 + 247495824 = 15795^2 + 15732^2 .

It is not a de Polignac number, because 496977849 - 2³ = 496977841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496977841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 199399 + ... + 201875.

Almost surely, 2^496977849 is an apocalyptic number.

496977849 is the 22293-rd square number.

496977849 is the 11147-th centered octagonal number.

It is an amenable number.

496977849 is a deficient number, since it is larger than the sum of its proper divisors (245720998).

496977849 is an frugal number, since it uses more digits than its factorization.

496977849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 2480 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The cubic root of 496977849 is about 792.0981713707.

The spelling of 496977849 in words is "four hundred ninety-six million, nine hundred seventy-seven thousand, eight hundred forty-nine".