496251648 has 108 divisors (see below), whose sum is σ = 1464382920. Its totient is φ = 161538048.

The previous prime is 496251617. The next prime is 496251697. The reversal of 496251648 is 846152694.

496251648 is a `hidden beast` number, since 4 + 9 + 625 + 16 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96568 + ... + 101576.

Almost surely, 2^496251648 is an apocalyptic number.

496251648 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 496251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732191460).

496251648 is an abundant number, since it is smaller than the sum of its proper divisors (968131272).

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

496251648 is a wasteful number, since it uses less digits than its factorization.

496251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5057 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 496251648 is about 22276.7063992862. The cubic root of 496251648 is about 791.7121696665.

The spelling of 496251648 in words is "four hundred ninety-six million, two hundred fifty-one thousand, six hundred forty-eight".