495532800 has 324 divisors, whose sum is σ = 2026380720. Its totient is φ = 113172480.

The previous prime is 495532789. The next prime is 495532811. The reversal of 495532800 is 8235594.

495532800 is a `hidden beast` number, since 49 + 5 + 532 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495532789) and next prime (495532811).

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, 402586 + ... + 403814.

Almost surely, 2^495532800 is an apocalyptic number.

495532800 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 495532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013190360).

495532800 is an abundant number, since it is smaller than the sum of its proper divisors (1530847920).

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

495532800 is a wasteful number, since it uses less digits than its factorization.

495532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 495532800 is about 22260.5660305393. The cubic root of 495532800 is about 791.3297052896.

The spelling of 495532800 in words is "four hundred ninety-five million, five hundred thirty-two thousand, eight hundred".