495124800 has 336 divisors, whose sum is σ = 1757476800. Its totient is φ = 121651200.

The previous prime is 495124783. The next prime is 495124807. The reversal of 495124800 is 8421594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495124807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5563156 + ... + 5563244.

Almost surely, 2^495124800 is an apocalyptic number.

495124800 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 495124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878738400).

495124800 is an abundant number, since it is smaller than the sum of its proper divisors (1262352000).

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

495124800 is a wasteful number, since it uses less digits than its factorization.

495124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 495124800 is about 22251.3999559578. The cubic root of 495124800 is about 791.1124635849.

The spelling of 495124800 in words is "four hundred ninety-five million, one hundred twenty-four thousand, eight hundred".