495376128 has 288 divisors, whose sum is σ = 1631112000. Its totient is φ = 147308544.

The previous prime is 495376127. The next prime is 495376153. The reversal of 495376128 is 821673594.

495376128 is a `hidden beast` number, since 495 + 37 + 6 + 128 = 666.

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

Its product of digits (362880) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495376127) 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 31 ways as a sum of consecutive naturals, for example, 3324598 + ... + 3324746.

Almost surely, 2^495376128 is an apocalyptic number.

495376128 is a gapful number since it is divisible by the number (48) 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 495376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815556000).

495376128 is an abundant number, since it is smaller than the sum of its proper divisors (1135735872).

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

495376128 is a wasteful number, since it uses less digits than its factorization.

495376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 495376128 is about 22257.0467043586. The cubic root of 495376128 is about 791.2462985833.

The spelling of 495376128 in words is "four hundred ninety-five million, three hundred seventy-six thousand, one hundred twenty-eight".