497780721 has 45 divisors (see below), whose sum is σ = 775815579. Its totient is φ = 318065616.

The previous prime is 497780693. The next prime is 497780749. The reversal of 497780721 is 127087794.

It is a happy number.

The square root of 497780721 is 22311.

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 (497780693) and next prime (497780749).

It can be written as a sum of positive squares in only one way, i.e., 445421025 + 52359696 = 21105^2 + 7236^2 .

It is not a de Polignac number, because 497780721 - 2²⁵ = 464226289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (497780821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7429530 + ... + 7429596.

Almost surely, 2^497780721 is an apocalyptic number.

497780721 is the 22311-st square number.

497780721 is the 11156-th centered octagonal number.

It is an amenable number.

497780721 is a deficient number, since it is larger than the sum of its proper divisors (278034858).

497780721 is an frugal number, since it uses more digits than its factorization.

497780721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The cubic root of 497780721 is about 792.5244890216.

It can be divided in two parts, 497780 and 721, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 497780721 in words is "four hundred ninety-seven million, seven hundred eighty thousand, seven hundred twenty-one".