495388800 has 288 divisors, whose sum is σ = 1795510080. Its totient is φ = 130037760.

The previous prime is 495388783. The next prime is 495388801. The reversal of 495388800 is 8883594.

495388800 is a `hidden beast` number, since 495 + 3 + 88 + 80 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (495388801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2966317 + ... + 2966483.

It is an arithmetic number, because the mean of its divisors is an integer number (6234410).

Almost surely, 2^495388800 is an apocalyptic number.

495388800 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 495388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897755040).

495388800 is an abundant number, since it is smaller than the sum of its proper divisors (1300121280).

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

495388800 is a wasteful number, since it uses less digits than its factorization.

495388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 495388800 is about 22257.3313764252. The cubic root of 495388800 is about 791.2530453676.

The spelling of 495388800 in words is "four hundred ninety-five million, three hundred eighty-eight thousand, eight hundred".