496958732209 has 27 divisors (see below), whose sum is σ = 519353528043. Its totient is φ = 475521816432.

The previous prime is 496958732201. The next prime is 496958732213. The reversal of 496958732209 is 902237859694.

The square root of 496958732209 is 704953.

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., 358256117025 + 138702615184 = 598545^2 + 372428^2 .

It is not a de Polignac number, because 496958732209 - 2³ = 496958732201 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (496958732201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1756037782 + ... + 1756038064.

Almost surely, 2^496958732209 is an apocalyptic number.

496958732209 is the 704953-rd square number.

496958732209 is the 352477-th centered octagonal number.

It is an amenable number.

496958732209 is a deficient number, since it is larger than the sum of its proper divisors (22394795834).

496958732209 is an frugal number, since it uses more digits than its factorization.

496958732209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 496958732209 by its sum of digits (64), we get a square (31805358861376 = 5639624²).

The spelling of 496958732209 in words is "four hundred ninety-six billion, nine hundred fifty-eight million, seven hundred thirty-two thousand, two hundred nine".