468116496 has 75 divisors (see below), whose sum is σ = 1357123053. Its totient is φ = 155779200.

The previous prime is 468116491. The next prime is 468116497. The reversal of 468116496 is 694611864.

The square root of 468116496 is 21636.

It is a perfect power (a square), and thus also a powerful number.

468116496 is a `hidden beast` number, since 46 + 8 + 116 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 393466896 + 74649600 = 19836^2 + 8640^2 .

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

It is not an unprimeable number, because it can be changed into a prime (468116491) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 778596 + ... + 779196.

Almost surely, 2^468116496 is an apocalyptic number.

468116496 is the 21636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468116496

468116496 is an abundant number, since it is smaller than the sum of its proper divisors (889006557).

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

468116496 is an frugal number, since it uses more digits than its factorization.

468116496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 606 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 468116496 is about 776.4580230830.

It can be divided in two parts, 468 and 116496, that added together give a square (116964 = 342²).

The spelling of 468116496 in words is "four hundred sixty-eight million, one hundred sixteen thousand, four hundred ninety-six".