495450000 has 240 divisors, whose sum is σ = 1782385920. Its totient is φ = 131760000.

The previous prime is 495449993. The next prime is 495450013. The reversal of 495450000 is 54594.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349817 + ... + 1350183.

It is an arithmetic number, because the mean of its divisors is an integer number (7426608).

Almost surely, 2^495450000 is an apocalyptic number.

495450000 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 495450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891192960).

495450000 is an abundant number, since it is smaller than the sum of its proper divisors (1286935920).

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

495450000 is an equidigital number, since it uses as much as digits as its factorization.

495450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 495450000 is about 22258.7061618595. The cubic root of 495450000 is about 791.2856276494.

The spelling of 495450000 in words is "four hundred ninety-five million, four hundred fifty thousand".