495015973200 has 540 divisors, whose sum is σ = 2062791389568. Its totient is φ = 109495411200.

The previous prime is 495015973189. The next prime is 495015973201. The reversal of 495015973200 is 2379510594.

It is a happy number.

495015973200 is a `hidden beast` number, since 4 + 9 + 50 + 1 + 597 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495015973201) 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 107 ways as a sum of consecutive naturals, for example, 5423139 + ... + 5513661.

Almost surely, 2^495015973200 is an apocalyptic number.

495015973200 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 495015973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031395694784).

495015973200 is an abundant number, since it is smaller than the sum of its proper divisors (1567775416368).

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

495015973200 is a wasteful number, since it uses less digits than its factorization.

495015973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90592 (or 90571 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 495015973200 in words is "four hundred ninety-five billion, fifteen million, nine hundred seventy-three thousand, two hundred".