4456780506 has 12 divisors (see below), whose sum is σ = 9656357802. Its totient is φ = 1485593496.

The previous prime is 4456780487. The next prime is 4456780529. The reversal of 4456780506 is 6050876544.

4456780506 is a `hidden beast` number, since 4 + 4 + 5 + 67 + 80 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3491746281 + 965034225 = 59091^2 + 31065^2 .

It is a super-3 number, since 3×4456780506³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123799441 + ... + 123799476.

Almost surely, 2^4456780506 is an apocalyptic number.

4456780506 is an abundant number, since it is smaller than the sum of its proper divisors (5199577296).

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

4456780506 is a wasteful number, since it uses less digits than its factorization.

4456780506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247598925 (or 247598922 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4456780506 is about 66759.1230170079. The cubic root of 4456780506 is about 1645.6611448602.

The spelling of 4456780506 in words is "four billion, four hundred fifty-six million, seven hundred eighty thousand, five hundred six".