496957680 has 200 divisors, whose sum is σ = 1759789152. Its totient is φ = 129931776.

The previous prime is 496957663. The next prime is 496957691. The reversal of 496957680 is 86759694.

496957680 is a `hidden beast` number, since 4 + 9 + 69 + 576 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 342717 + ... + 344163.

Almost surely, 2^496957680 is an apocalyptic number.

496957680 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 496957680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879894576).

496957680 is an abundant number, since it is smaller than the sum of its proper divisors (1262831472).

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

496957680 is a wasteful number, since it uses less digits than its factorization.

496957680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 496957680 is about 22292.5476336824. The cubic root of 496957680 is about 792.0874559071.

It can be divided in two parts, 49695 and 7680, that added together give a palindrome (57375).

The spelling of 496957680 in words is "four hundred ninety-six million, nine hundred fifty-seven thousand, six hundred eighty".