497296800 has 1152 divisors, whose sum is σ = 2519838720. Its totient is φ = 91238400.

The previous prime is 497296771. The next prime is 497296817. The reversal of 497296800 is 8692794.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21621589 + ... + 21621611.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^497296800 is an apocalyptic number.

497296800 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 497296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

497296800 is an abundant number, since it is smaller than the sum of its proper divisors (2022541920).

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

497296800 is a wasteful number, since it uses less digits than its factorization.

497296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 497296800 is about 22300.1524658465. The cubic root of 497296800 is about 792.2675863504.

The spelling of 497296800 in words is "four hundred ninety-seven million, two hundred ninety-six thousand, eight hundred".