497281200 has 240 divisors, whose sum is σ = 1735888896. Its totient is φ = 120960000.

The previous prime is 497281177. The next prime is 497281207. The reversal of 497281200 is 2182794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (497281207) 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, 1981075 + ... + 1981325.

Almost surely, 2^497281200 is an apocalyptic number.

497281200 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 497281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867944448).

497281200 is an abundant number, since it is smaller than the sum of its proper divisors (1238607696).

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

497281200 is a wasteful number, since it uses less digits than its factorization.

497281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 497281200 is about 22299.8026897101. The cubic root of 497281200 is about 792.2593018922.

The spelling of 497281200 in words is "four hundred ninety-seven million, two hundred eighty-one thousand, two hundred".