497458080 has 288 divisors, whose sum is σ = 2054916864. Its totient is φ = 106979328.

The previous prime is 497458033. The next prime is 497458109. The reversal of 497458080 is 80854794.

497458080 is a `hidden beast` number, since 497 + 4 + 5 + 80 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169909 + ... + 172811.

It is an arithmetic number, because the mean of its divisors is an integer number (7135128).

Almost surely, 2^497458080 is an apocalyptic number.

497458080 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 497458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027458432).

497458080 is an abundant number, since it is smaller than the sum of its proper divisors (1557458784).

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

497458080 is a wasteful number, since it uses less digits than its factorization.

497458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 497458080 is about 22303.7682914794. The cubic root of 497458080 is about 792.3532247495.

The spelling of 497458080 in words is "four hundred ninety-seven million, four hundred fifty-eight thousand, eighty".