497884800 has 384 divisors, whose sum is σ = 1942732800. Its totient is φ = 109670400.

The previous prime is 497884787. The next prime is 497884813. The reversal of 497884800 is 8488794.

It is an interprime number because it is at equal distance from previous prime (497884787) and next prime (497884813).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 497884800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083081 + ... + 2083319.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2^497884800 is an apocalyptic number.

497884800 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 497884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971366400).

497884800 is an abundant number, since it is smaller than the sum of its proper divisors (1444848000).

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

497884800 is a wasteful number, since it uses less digits than its factorization.

497884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 497884800 is about 22313.3323374166. The cubic root of 497884800 is about 792.5797204415.

The spelling of 497884800 in words is "four hundred ninety-seven million, eight hundred eighty-four thousand, eight hundred".