495033600 has 432 divisors, whose sum is σ = 1824883200. Its totient is φ = 117596160.

The previous prime is 495033599. The next prime is 495033607. The reversal of 495033600 is 6330594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495033607) by changing a digit.

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, 8390371 + ... + 8390429.

Almost surely, 2^495033600 is an apocalyptic number.

495033600 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 495033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912441600).

495033600 is an abundant number, since it is smaller than the sum of its proper divisors (1329849600).

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

495033600 is a wasteful number, since it uses less digits than its factorization.

495033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 495033600 is about 22249.3505523195. The cubic root of 495033600 is about 791.0638873559.

The spelling of 495033600 in words is "four hundred ninety-five million, thirty-three thousand, six hundred".