4506684480 has 280 divisors, whose sum is σ = 16876654080. Its totient is φ = 1138406400.

The previous prime is 4506684467. The next prime is 4506684503. The reversal of 4506684480 is 844866054.

4506684480 is a `hidden beast` number, since 4 + 506 + 68 + 4 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 487905 + ... + 497055.

Almost surely, 2^4506684480 is an apocalyptic number.

4506684480 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 4506684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438327040).

4506684480 is an abundant number, since it is smaller than the sum of its proper divisors (12369969600).

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

4506684480 is a wasteful number, since it uses less digits than its factorization.

4506684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9199 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4506684480 is about 67131.8440086372. The cubic root of 4506684480 is about 1651.7806891493.

The spelling of 4506684480 in words is "four billion, five hundred six million, six hundred eighty-four thousand, four hundred eighty".