496756608 has 64 divisors (see below), whose sum is σ = 1321920000. Its totient is φ = 165283328.

The previous prime is 496756607. The next prime is 496756619. The reversal of 496756608 is 806657694.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496756607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330643 + ... + 332141.

It is an arithmetic number, because the mean of its divisors is an integer number (20655000).

Almost surely, 2^496756608 is an apocalyptic number.

496756608 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 496756608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960000).

496756608 is an abundant number, since it is smaller than the sum of its proper divisors (825163392).

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

496756608 is a wasteful number, since it uses less digits than its factorization.

496756608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 496756608 is about 22288.0373294734. The cubic root of 496756608 is about 791.9806137485.

The spelling of 496756608 in words is "four hundred ninety-six million, seven hundred fifty-six thousand, six hundred eight".