495677520 has 120 divisors (see below), whose sum is σ = 1792734216. Its totient is φ = 122010624.

The previous prime is 495677513. The next prime is 495677549. The reversal of 495677520 is 25776594.

495677520 is a `hidden beast` number, since 4 + 9 + 56 + 77 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 473323536 = 4728^2 + 21756^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17119 + ... + 35838.

Almost surely, 2^495677520 is an apocalyptic number.

495677520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495677520 is an abundant number, since it is smaller than the sum of its proper divisors (1297056696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495677520 is a wasteful number, since it uses less digits than its factorization.

495677520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52989 (or 52980 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 495677520 is about 22263.8163844387. The cubic root of 495677520 is about 791.4067335496.

The spelling of 495677520 in words is "four hundred ninety-five million, six hundred seventy-seven thousand, five hundred twenty".