495424800 has 432 divisors, whose sum is σ = 1933626240. Its totient is φ = 118609920.

The previous prime is 495424789. The next prime is 495424817. The reversal of 495424800 is 8424594.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6271161 + ... + 6271239.

Almost surely, 2^495424800 is an apocalyptic number.

495424800 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 495424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966813120).

495424800 is an abundant number, since it is smaller than the sum of its proper divisors (1438201440).

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

495424800 is a wasteful number, since it uses less digits than its factorization.

495424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 495424800 is about 22258.1400840232. The cubic root of 495424800 is about 791.2722117407.

The spelling of 495424800 in words is "four hundred ninety-five million, four hundred twenty-four thousand, eight hundred".