495495072 has 288 divisors, whose sum is σ = 1610219520. Its totient is φ = 143700480.

The previous prime is 495495071. The next prime is 495495079. The reversal of 495495072 is 270594594.

495495072 is a `hidden beast` number, since 4 + 95 + 495 + 0 + 72 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495495071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3901473 + ... + 3901599.

It is an arithmetic number, because the mean of its divisors is an integer number (5591040).

Almost surely, 2^495495072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805109760).

495495072 is an abundant number, since it is smaller than the sum of its proper divisors (1114724448).

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

495495072 is a wasteful number, since it uses less digits than its factorization.

495495072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 495495072 is about 22259.7185966040. The cubic root of 495495072 is about 791.3096218260.

The spelling of 495495072 in words is "four hundred ninety-five million, four hundred ninety-five thousand, seventy-two".