497258960 has 80 divisors (see below), whose sum is σ = 1273257792. Its totient is φ = 179097600.

The previous prime is 497258933. The next prime is 497258963. The reversal of 497258960 is 69852794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 497258899 and 497258908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497258963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91520 + ... + 96800.

Almost surely, 2^497258960 is an apocalyptic number.

497258960 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 497258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636628896).

497258960 is an abundant number, since it is smaller than the sum of its proper divisors (775998832).

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

497258960 is a wasteful number, since it uses less digits than its factorization.

497258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 497258960 is about 22299.3040250139. The cubic root of 497258960 is about 792.2474909292.

It can be divided in two parts, 49725 and 8960, that added together give a palindrome (58685).

The spelling of 497258960 in words is "four hundred ninety-seven million, two hundred fifty-eight thousand, nine hundred sixty".