495140800 has 168 divisors, whose sum is σ = 1519367040. Its totient is φ = 154291200.

The previous prime is 495140797. The next prime is 495140819. The reversal of 495140800 is 8041594.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121191 + ... + 125209.

Almost surely, 2^495140800 is an apocalyptic number.

495140800 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 495140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759683520).

495140800 is an abundant number, since it is smaller than the sum of its proper divisors (1024226240).

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

495140800 is a wasteful number, since it uses less digits than its factorization.

495140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 495140800 is about 22251.7594809939. The cubic root of 495140800 is about 791.1209851152.

The spelling of 495140800 in words is "four hundred ninety-five million, one hundred forty thousand, eight hundred".