496991040 has 224 divisors, whose sum is σ = 1942429440. Its totient is φ = 104841216.

The previous prime is 496991029. The next prime is 496991057. The reversal of 496991040 is 40199694.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×496991040³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 496990983 and 496991001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84516 + ... + 90204.

It is an arithmetic number, because the mean of its divisors is an integer number (8671560).

Almost surely, 2^496991040 is an apocalyptic number.

496991040 is a gapful number since it is divisible by the number (40) 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 496991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971214720).

496991040 is an abundant number, since it is smaller than the sum of its proper divisors (1445438400).

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

496991040 is a wasteful number, since it uses less digits than its factorization.

496991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 496991040 is about 22293.2958532380. The cubic root of 496991040 is about 792.1051793789.

The spelling of 496991040 in words is "four hundred ninety-six million, nine hundred ninety-one thousand, forty".