497538000 has 240 divisors, whose sum is σ = 1759298112. Its totient is φ = 131040000.

The previous prime is 497537987. The next prime is 497538017. The reversal of 497538000 is 835794.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×497538000² = 495088122888000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357895 + ... + 2358105.

Almost surely, 2^497538000 is an apocalyptic number.

497538000 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 497538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879649056).

497538000 is an abundant number, since it is smaller than the sum of its proper divisors (1261760112).

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

497538000 is a wasteful number, since it uses less digits than its factorization.

497538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 497538000 is about 22305.5598450252. The cubic root of 497538000 is about 792.3956547762.

The spelling of 497538000 in words is "four hundred ninety-seven million, five hundred thirty-eight thousand".