497259648 has 168 divisors, whose sum is σ = 1505897145. Its totient is φ = 163482624.

The previous prime is 497259641. The next prime is 497259683. The reversal of 497259648 is 846952794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

497259648 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 596 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 494973504 + 2286144 = 22248^2 + 1512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 497259594 and 497259603.

It is not an unprimeable number, because it can be changed into a prime (497259641) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6811740 + ... + 6811812.

Almost surely, 2^497259648 is an apocalyptic number.

497259648 is a gapful number since it is divisible by the number (48) 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 497259648

497259648 is an abundant number, since it is smaller than the sum of its proper divisors (1008637497).

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

497259648 is an frugal number, since it uses more digits than its factorization.

497259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 78 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 497259648 is about 22299.3194514990. The cubic root of 497259648 is about 792.2478563096.

It can be divided in two parts, 4972 and 59648, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 497259648 in words is "four hundred ninety-seven million, two hundred fifty-nine thousand, six hundred forty-eight".