496858320 has 320 divisors, whose sum is σ = 2072010240. Its totient is φ = 106831872.

The previous prime is 496858319. The next prime is 496858321. The reversal of 496858320 is 23858694.

496858320 is a `hidden beast` number, since 4 + 9 + 68 + 583 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496858319) and next prime (496858321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496858321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256074 + ... + 258006.

It is an arithmetic number, because the mean of its divisors is an integer number (6475032).

Almost surely, 2^496858320 is an apocalyptic number.

496858320 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 496858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036005120).

496858320 is an abundant number, since it is smaller than the sum of its proper divisors (1575151920).

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

496858320 is a wasteful number, since it uses less digits than its factorization.

496858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 496858320 is about 22290.3189748375. The cubic root of 496858320 is about 792.0346633130.

The spelling of 496858320 in words is "four hundred ninety-six million, eight hundred fifty-eight thousand, three hundred twenty".