495057600 has 252 divisors, whose sum is σ = 1817949120. Its totient is φ = 127641600.

The previous prime is 495057599. The next prime is 495057611. The reversal of 495057600 is 6750594.

495057600 is a `hidden beast` number, since 49 + 5 + 0 + 5 + 7 + 600 = 666.

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 35 ways as a sum of consecutive naturals, for example, 445846 + ... + 446954.

Almost surely, 2^495057600 is an apocalyptic number.

495057600 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 495057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908974560).

495057600 is an abundant number, since it is smaller than the sum of its proper divisors (1322891520).

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

495057600 is a wasteful number, since it uses less digits than its factorization.

495057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 495057600 is about 22249.8898873680. The cubic root of 495057600 is about 791.0766711524.

The spelling of 495057600 in words is "four hundred ninety-five million, fifty-seven thousand, six hundred".