496093248 has 392 divisors, whose sum is σ = 1776780800. Its totient is φ = 137168640.

The previous prime is 496093237. The next prime is 496093253. The reversal of 496093248 is 842390694.

496093248 is a `hidden beast` number, since 4 + 9 + 609 + 32 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (392).

It is a super-2 number, since 2×496093248² = 492217021422379008, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 16002993 + ... + 16003023.

Almost surely, 2^496093248 is an apocalyptic number.

496093248 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 496093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888390400).

496093248 is an abundant number, since it is smaller than the sum of its proper divisors (1280687552).

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

496093248 is an frugal number, since it uses more digits than its factorization.

496093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 496093248 is about 22273.1508323362. The cubic root of 496093248 is about 791.6279244026.

The spelling of 496093248 in words is "four hundred ninety-six million, ninety-three thousand, two hundred forty-eight".