496113920 has 144 divisors (see below), whose sum is σ = 1239743232. Its totient is φ = 190095360.

The previous prime is 496113901. The next prime is 496113929. The reversal of 496113920 is 29311694.

It is a super-2 number, since 2×496113920² = 492258043235532800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (496113929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816589 + ... + 4816691.

It is an arithmetic number, because the mean of its divisors is an integer number (8609328).

Almost surely, 2^496113920 is an apocalyptic number.

496113920 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 496113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619871616).

496113920 is an abundant number, since it is smaller than the sum of its proper divisors (743629312).

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

496113920 is a wasteful number, since it uses less digits than its factorization.

496113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 496113920 is about 22273.6148839832. The cubic root of 496113920 is about 791.6389198524.

It can be divided in two parts, 4961 and 13920, that added together give a palindrome (18881).

The spelling of 496113920 in words is "four hundred ninety-six million, one hundred thirteen thousand, nine hundred twenty".