495936000 has 640 divisors, whose sum is σ = 2144862720. Its totient is φ = 110592000.

The previous prime is 495935987. The next prime is 495936061. The reversal of 495936000 is 639594.

495936000 is a `hidden beast` number, since 4 + 9 + 593 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095980 + ... + 12096020.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^495936000 is an apocalyptic number.

495936000 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 495936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

495936000 is an abundant number, since it is smaller than the sum of its proper divisors (1648926720).

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

495936000 is an equidigital number, since it uses as much as digits as its factorization.

495936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 495936000 is about 22269.6205625511. The cubic root of 495936000 is about 791.5442740922.

The spelling of 495936000 in words is "four hundred ninety-five million, nine hundred thirty-six thousand".