496006092729 has 75 divisors (see below), whose sum is σ = 864928764447. Its totient is φ = 283254575184.

The previous prime is 496006092727. The next prime is 496006092767. The reversal of 496006092729 is 927290600694.

The square root of 496006092729 is 704277.

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

496006092729 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 0 + 609 + 2 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99423549225 + 396582543504 = 315315^2 + 629748^2 .

It is not a de Polignac number, because 496006092729 - 2¹ = 496006092727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (496006092721) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 310585359 + ... + 310586955.

Almost surely, 2^496006092729 is an apocalyptic number.

496006092729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

496006092729 is the 704277-th square number.

496006092729 is the 352139-th centered octagonal number.

It is an amenable number.

496006092729 is a deficient number, since it is larger than the sum of its proper divisors (368922671718).

496006092729 is an frugal number, since it uses more digits than its factorization.

496006092729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 496006092729 in words is "four hundred ninety-six billion, six million, ninety-two thousand, seven hundred twenty-nine".