497262240 has 480 divisors, whose sum is σ = 1939657104. Its totient is φ = 119439360.

The previous prime is 497262239. The next prime is 497262247. The reversal of 497262240 is 42262794.

497262240 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 249766416 + 247495824 = 15804^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 497262195 and 497262204.

It is not an unprimeable number, because it can be changed into a prime (497262247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8151810 + ... + 8151870.

Almost surely, 2^497262240 is an apocalyptic number.

497262240 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 497262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969828552).

497262240 is an abundant number, since it is smaller than the sum of its proper divisors (1442394864).

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

497262240 is a wasteful number, since it uses less digits than its factorization.

497262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 497262240 is about 22299.3775697888. The cubic root of 497262240 is about 792.2492328560.

The spelling of 497262240 in words is "four hundred ninety-seven million, two hundred sixty-two thousand, two hundred forty".