496116288 has 84 divisors (see below), whose sum is σ = 1425275280. Its totient is φ = 164994816.

The previous prime is 496116259. The next prime is 496116293. The reversal of 496116288 is 882611694.

496116288 is a `hidden beast` number, since 4 + 9 + 6 + 11 + 628 + 8 = 666.

It is a super-2 number, since 2×496116288² = 492262742437797888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378931 + ... + 380237.

Almost surely, 2^496116288 is an apocalyptic number.

496116288 is a gapful number since it is divisible by the number (48) 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 496116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712637640).

496116288 is an abundant number, since it is smaller than the sum of its proper divisors (929158992).

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

496116288 is a wasteful number, since it uses less digits than its factorization.

496116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1971 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 496116288 is about 22273.6680409851. The cubic root of 496116288 is about 791.6401793736.

The spelling of 496116288 in words is "four hundred ninety-six million, one hundred sixteen thousand, two hundred eighty-eight".