496904616 has 144 divisors (see below), whose sum is σ = 1475788860. Its totient is φ = 150958080.

The previous prime is 496904599. The next prime is 496904621. The reversal of 496904616 is 616409694.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 496844100 = 246^2 + 22290^2 .

It is a super-3 number, since 3×496904616³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180086 + ... + 1180506.

Almost surely, 2^496904616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496904616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737894430).

496904616 is an abundant number, since it is smaller than the sum of its proper divisors (978884244).

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

496904616 is a wasteful number, since it uses less digits than its factorization.

496904616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 496904616 is about 22291.3574283847. The cubic root of 496904616 is about 792.0592624770.

The spelling of 496904616 in words is "four hundred ninety-six million, nine hundred four thousand, six hundred sixteen".