496457120 has 96 divisors (see below), whose sum is σ = 1275695568. Its totient is φ = 181813248.

The previous prime is 496457107. The next prime is 496457141. The reversal of 496457120 is 21754694.

It can be written as a sum of positive squares in 8 ways, for example, as 348494224 + 147962896 = 18668^2 + 12164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98174 + ... + 103106.

Almost surely, 2^496457120 is an apocalyptic number.

496457120 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 496457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637847784).

496457120 is an abundant number, since it is smaller than the sum of its proper divisors (779238448).

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

496457120 is a wasteful number, since it uses less digits than its factorization.

496457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 496457120 is about 22281.3177348199. The cubic root of 496457120 is about 791.8214235346.

It can be divided in two parts, 49645 and 7120, that added together give a palindrome (56765).

The spelling of 496457120 in words is "four hundred ninety-six million, four hundred fifty-seven thousand, one hundred twenty".