497533600 has 72 divisors (see below), whose sum is σ = 1217851740. Its totient is φ = 198481920.

The previous prime is 497533591. The next prime is 497533609. The reversal of 497533600 is 6335794.

It is an interprime number because it is at equal distance from previous prime (497533591) and next prime (497533609).

It can be written as a sum of positive squares in 6 ways, for example, as 252047376 + 245486224 = 15876^2 + 15668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 497533600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497533609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454654 + ... + 455746.

Almost surely, 2^497533600 is an apocalyptic number.

497533600 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 497533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608925870).

497533600 is an abundant number, since it is smaller than the sum of its proper divisors (720318140).

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

497533600 is a wasteful number, since it uses less digits than its factorization.

497533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 497533600 is about 22305.4612146891. The cubic root of 497533600 is about 792.3933189069.

The spelling of 497533600 in words is "four hundred ninety-seven million, five hundred thirty-three thousand, six hundred".