495261600 has 144 divisors (see below), whose sum is σ = 1697078880. Its totient is φ = 125107200.

The previous prime is 495261589. The next prime is 495261601. The reversal of 495261600 is 6162594.

It is not an unprimeable number, because it can be changed into a prime (495261601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40170 + ... + 51030.

It is an arithmetic number, because the mean of its divisors is an integer number (11785270).

Almost surely, 2^495261600 is an apocalyptic number.

495261600 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 495261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848539440).

495261600 is an abundant number, since it is smaller than the sum of its proper divisors (1201817280).

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

495261600 is a wasteful number, since it uses less digits than its factorization.

495261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 495261600 is about 22254.4737075492. The cubic root of 495261600 is about 791.1853167452.

The spelling of 495261600 in words is "four hundred ninety-five million, two hundred sixty-one thousand, six hundred".