495999504 has 640 divisors, whose sum is σ = 2026536960. Its totient is φ = 111974400.

The previous prime is 495999461. The next prime is 495999521. The reversal of 495999504 is 405999594.

495999504 is a `hidden beast` number, since 49 + 5 + 9 + 99 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13405374 + ... + 13405410.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^495999504 is an apocalyptic number.

495999504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495999504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013268480).

495999504 is an abundant number, since it is smaller than the sum of its proper divisors (1530537456).

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

495999504 is a wasteful number, since it uses less digits than its factorization.

495999504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 495999504 is about 22271.0463157886. The cubic root of 495999504 is about 791.5780580766.

It can be divided in two parts, 495 and 999504, that added together give a palindrome (999999).

The spelling of 495999504 in words is "four hundred ninety-five million, nine hundred ninety-nine thousand, five hundred four".