490253432761 has 9 divisors (see below), whose sum is σ = 492044699181. Its totient is φ = 488468671392.

The previous prime is 490253432737. The next prime is 490253432771. The reversal of 490253432761 is 167234352094.

The square root of 490253432761 is 700181.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70686325161 + 419567107600 = 265869^2 + 647740^2 .

It is not a de Polignac number, because 490253432761 - 2¹¹ = 490253430713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490253432771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219155535 + ... + 219157771.

Almost surely, 2^490253432761 is an apocalyptic number.

490253432761 is the 700181-st square number.

490253432761 is the 350091-st centered octagonal number.

It is an amenable number.

490253432761 is a deficient number, since it is larger than the sum of its proper divisors (1791266420).

490253432761 is an frugal number, since it uses more digits than its factorization.

490253432761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 490253432761 in words is "four hundred ninety billion, two hundred fifty-three million, four hundred thirty-two thousand, seven hundred sixty-one".