496810368 has 128 divisors (see below), whose sum is σ = 1517148000. Its totient is φ = 159860736.

The previous prime is 496810367. The next prime is 496810399. The reversal of 496810368 is 863018694.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496810367) 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, 97746 + ... + 102702.

Almost surely, 2^496810368 is an apocalyptic number.

496810368 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 496810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758574000).

496810368 is an abundant number, since it is smaller than the sum of its proper divisors (1020337632).

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

496810368 is a wasteful number, since it uses less digits than its factorization.

496810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 496810368 is about 22289.2433249763. The cubic root of 496810368 is about 792.0091826300.

The spelling of 496810368 in words is "four hundred ninety-six million, eight hundred ten thousand, three hundred sixty-eight".