496739440 has 80 divisors (see below), whose sum is σ = 1189397088. Its totient is φ = 192826368.

The previous prime is 496739431. The next prime is 496739459. The reversal of 496739440 is 44937694.

496739440 is a nontrivial binomial coefficient, being equal to C(31520, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677314 + ... + 678046.

Almost surely, 2^496739440 is an apocalyptic number.

496739440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

496739440 is the 31519-th triangular number and also the 15760-th hexagonal number.

496739440 is the 10507-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594698544).

496739440 is an abundant number, since it is smaller than the sum of its proper divisors (692657648).

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

496739440 is a wasteful number, since it uses less digits than its factorization.

496739440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The square root of 496739440 is about 22287.6521868051. The cubic root of 496739440 is about 791.9714899780.

It can be divided in two parts, 496 and 739440, that added together give a triangular number (739936 = T₁₂₁₆).

The spelling of 496739440 in words is "four hundred ninety-six million, seven hundred thirty-nine thousand, four hundred forty".