497268000 has 288 divisors, whose sum is σ = 1860243840. Its totient is φ = 125452800.

The previous prime is 497267977. The next prime is 497268007. The reversal of 497268000 is 862794.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (497268007) 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, 683637 + ... + 684363.

It is an arithmetic number, because the mean of its divisors is an integer number (6459180).

Almost surely, 2^497268000 is an apocalyptic number.

497268000 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 497268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930121920).

497268000 is an abundant number, since it is smaller than the sum of its proper divisors (1362975840).

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

497268000 is a wasteful number, since it uses less digits than its factorization.

497268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 497268000 is about 22299.5067210017. The cubic root of 497268000 is about 792.2522918307.

The spelling of 497268000 in words is "four hundred ninety-seven million, two hundred sixty-eight thousand".