495648000 has 216 divisors, whose sum is σ = 1784522376. Its totient is φ = 132096000.

The previous prime is 495647993. The next prime is 495648037. The reversal of 495648000 is 846594.

495648000 is a `hidden beast` number, since 4 + 9 + 5 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 491774976 = 1968^2 + 22176^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287140 + ... + 288860.

Almost surely, 2^495648000 is an apocalyptic number.

495648000 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 495648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892261188).

495648000 is an abundant number, since it is smaller than the sum of its proper divisors (1288874376).

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

495648000 is a wasteful number, since it uses less digits than its factorization.

495648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 495648000 is about 22263.1534154531. The cubic root of 495648000 is about 791.3910225348.

The spelling of 495648000 in words is "four hundred ninety-five million, six hundred forty-eight thousand".