496667520 has 288 divisors, whose sum is σ = 1803863880. Its totient is φ = 125908992.

The previous prime is 496667491. The next prime is 496667533. The reversal of 496667520 is 25766694.

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

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046959 + ... + 3047121.

Almost surely, 2^496667520 is an apocalyptic number.

496667520 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 496667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901931940).

496667520 is an abundant number, since it is smaller than the sum of its proper divisors (1307196360).

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

496667520 is a wasteful number, since it uses less digits than its factorization.

496667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 496667520 is about 22286.0386789577. The cubic root of 496667520 is about 791.9332664923.

The spelling of 496667520 in words is "four hundred ninety-six million, six hundred sixty-seven thousand, five hundred twenty".