496190016 has 448 divisors, whose sum is σ = 1872691200. Its totient is φ = 125411328.

The previous prime is 496190011. The next prime is 496190021. The reversal of 496190016 is 610091694.

It is an interprime number because it is at equal distance from previous prime (496190011) and next prime (496190021).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496190011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906945 + ... + 3907071.

Almost surely, 2^496190016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936345600).

496190016 is an abundant number, since it is smaller than the sum of its proper divisors (1376501184).

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

496190016 is a wasteful number, since it uses less digits than its factorization.

496190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 496190016 is about 22275.3230279608. The cubic root of 496190016 is about 791.6793927311.

The spelling of 496190016 in words is "four hundred ninety-six million, one hundred ninety thousand, sixteen".