496317240 has 256 divisors, whose sum is σ = 1772352000. Its totient is φ = 123513984.

The previous prime is 496317203. The next prime is 496317271. The reversal of 496317240 is 42713694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 496317195 and 496317204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7407687 + ... + 7407753.

It is an arithmetic number, because the mean of its divisors is an integer number (6923250).

Almost surely, 2^496317240 is an apocalyptic number.

496317240 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 496317240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886176000).

496317240 is an abundant number, since it is smaller than the sum of its proper divisors (1276034760).

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

496317240 is a wasteful number, since it uses less digits than its factorization.

496317240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 496317240 is about 22278.1785610943. The cubic root of 496317240 is about 791.7470496157.

The spelling of 496317240 in words is "four hundred ninety-six million, three hundred seventeen thousand, two hundred forty".