497683872 has 384 divisors, whose sum is σ = 1799884800. Its totient is φ = 130636800.

The previous prime is 497683859. The next prime is 497683909. The reversal of 497683872 is 278386794.

497683872 is a `hidden beast` number, since 497 + 6 + 83 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7009597 + ... + 7009667.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^497683872 is an apocalyptic number.

497683872 is a gapful number since it is divisible by the number (42) 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 497683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

497683872 is an abundant number, since it is smaller than the sum of its proper divisors (1302200928).

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

497683872 is a wasteful number, since it uses less digits than its factorization.

497683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 497683872 is about 22308.8294627934. The cubic root of 497683872 is about 792.4730874175.

The spelling of 497683872 in words is "four hundred ninety-seven million, six hundred eighty-three thousand, eight hundred seventy-two".