497505120 has 192 divisors, whose sum is σ = 1885524480. Its totient is φ = 107716608.

The previous prime is 497505109. The next prime is 497505131. The reversal of 497505120 is 21505794.

It is an interprime number because it is at equal distance from previous prime (497505109) and next prime (497505131).

It is a super-3 number, since 3×497505120³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59944 + ... + 67736.

It is an arithmetic number, because the mean of its divisors is an integer number (9820440).

Almost surely, 2^497505120 is an apocalyptic number.

497505120 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 497505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942762240).

497505120 is an abundant number, since it is smaller than the sum of its proper divisors (1388019360).

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

497505120 is a wasteful number, since it uses less digits than its factorization.

497505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 497505120 is about 22304.8227968751. The cubic root of 497505120 is about 792.3781991292.

The spelling of 497505120 in words is "four hundred ninety-seven million, five hundred five thousand, one hundred twenty".