490977765 has 72 divisors (see below), whose sum is σ = 952092960. Its totient is φ = 233362944.

The previous prime is 490977761. The next prime is 490977769. The reversal of 490977765 is 567779094.

It is a happy number.

490977765 is a `hidden beast` number, since 490 + 97 + 7 + 7 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (490977761) and next prime (490977769).

It is not a de Polignac number, because 490977765 - 2² = 490977761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490977761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246102 + ... + 248088.

Almost surely, 2^490977765 is an apocalyptic number.

490977765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490977765 is a deficient number, since it is larger than the sum of its proper divisors (461115195).

490977765 is a wasteful number, since it uses less digits than its factorization.

490977765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 490977765 is about 22158.0180747286. The cubic root of 490977765 is about 788.8975515995.

The spelling of 490977765 in words is "four hundred ninety million, nine hundred seventy-seven thousand, seven hundred sixty-five".