497531520 has 192 divisors, whose sum is σ = 1819457640. Its totient is φ = 124846080.

The previous prime is 497531513. The next prime is 497531557. The reversal of 497531520 is 25135794.

It can be written as a sum of positive squares in 4 ways, for example, as 375119424 + 122412096 = 19368^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×497531520² = 495075226787020800, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95380 + ... + 100460.

Almost surely, 2^497531520 is an apocalyptic number.

497531520 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 497531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909728820).

497531520 is an abundant number, since it is smaller than the sum of its proper divisors (1321926120).

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

497531520 is a wasteful number, since it uses less digits than its factorization.

497531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 497531520 is about 22305.4145892875. The cubic root of 497531520 is about 792.3922146730.

The spelling of 497531520 in words is "four hundred ninety-seven million, five hundred thirty-one thousand, five hundred twenty".