495012960 has 288 divisors, whose sum is σ = 1880057088. Its totient is φ = 117780480.

The previous prime is 495012949. The next prime is 495012971. The reversal of 495012960 is 69210594.

It is an interprime number because it is at equal distance from previous prime (495012949) and next prime (495012971).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 579894 + ... + 580746.

It is an arithmetic number, because the mean of its divisors is an integer number (6527976).

Almost surely, 2^495012960 is an apocalyptic number.

495012960 is a gapful number since it is divisible by the number (40) 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 495012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940028544).

495012960 is an abundant number, since it is smaller than the sum of its proper divisors (1385044128).

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

495012960 is a wasteful number, since it uses less digits than its factorization.

495012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 495012960 is about 22248.8867137212. The cubic root of 495012960 is about 791.0528929604.

The spelling of 495012960 in words is "four hundred ninety-five million, twelve thousand, nine hundred sixty".