495259800 has 192 divisors, whose sum is σ = 1802622720. Its totient is φ = 110108160.

The previous prime is 495259799. The next prime is 495259823. The reversal of 495259800 is 8952594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153807 + ... + 156993.

It is an arithmetic number, because the mean of its divisors is an integer number (9388660).

Almost surely, 2^495259800 is an apocalyptic number.

495259800 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 495259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901311360).

495259800 is an abundant number, since it is smaller than the sum of its proper divisors (1307362920).

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

495259800 is a wasteful number, since it uses less digits than its factorization.

495259800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 495259800 is about 22254.4332662056. The cubic root of 495259800 is about 791.1843582381.

The spelling of 495259800 in words is "four hundred ninety-five million, two hundred fifty-nine thousand, eight hundred".