496651680 has 288 divisors, whose sum is σ = 2004912000. Its totient is φ = 109541376.

The previous prime is 496651669. The next prime is 496651681. The reversal of 496651680 is 86156694.

It is a tau number, because it is divible by the number of its divisors (288).

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 (496651681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291471 + ... + 293169.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^496651680 is an apocalyptic number.

496651680 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 496651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456000).

496651680 is an abundant number, since it is smaller than the sum of its proper divisors (1508260320).

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

496651680 is a wasteful number, since it uses less digits than its factorization.

496651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 496651680 is about 22285.6832966818. The cubic root of 496651680 is about 791.9248474757.

The spelling of 496651680 in words is "four hundred ninety-six million, six hundred fifty-one thousand, six hundred eighty".