495558000 has 800 divisors, whose sum is σ = 2246999040. Its totient is φ = 102643200.

The previous prime is 495557999. The next prime is 495558017. The reversal of 495558000 is 855594.

It is a happy number.

It is a super-3 number, since 3×495558000³ (a number of 27 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 21545989 + ... + 21546011.

Almost surely, 2^495558000 is an apocalyptic number.

495558000 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 495558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123499520).

495558000 is an abundant number, since it is smaller than the sum of its proper divisors (1751441040).

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

495558000 is a wasteful number, since it uses less digits than its factorization.

495558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 495558000 is about 22261.1320466862. The cubic root of 495558000 is about 791.3431192489.

The spelling of 495558000 in words is "four hundred ninety-five million, five hundred fifty-eight thousand".