496087680 has 256 divisors, whose sum is σ = 1751984640. Its totient is φ = 118394880.

The previous prime is 496087673. The next prime is 496087681. The reversal of 496087680 is 86780694.

It is a super-2 number, since 2×496087680² = 492205972495564800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (496087681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752819 + ... + 1753101.

It is an arithmetic number, because the mean of its divisors is an integer number (6843690).

Almost surely, 2^496087680 is an apocalyptic number.

496087680 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 496087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875992320).

496087680 is an abundant number, since it is smaller than the sum of its proper divisors (1255896960).

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

496087680 is a wasteful number, since it uses less digits than its factorization.

496087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 496087680 is about 22273.0258384441. The cubic root of 496087680 is about 791.6249627277.

The spelling of 496087680 in words is "four hundred ninety-six million, eighty-seven thousand, six hundred eighty".