1206600480 has 288 divisors, whose sum is σ = 4279661568. Its totient is φ = 309350400.

The previous prime is 1206600469. The next prime is 1206600487. The reversal of 1206600480 is 840066021.

1206600480 is a `hidden beast` number, since 12 + 0 + 6 + 600 + 48 + 0 = 666.

1206600480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1206600487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6317185 + ... + 6317375.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^1206600480 is an apocalyptic number.

1206600480 is a gapful number since it is divisible by the number (10) 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 1206600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139830784).

1206600480 is an abundant number, since it is smaller than the sum of its proper divisors (3073061088).

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

1206600480 is a wasteful number, since it uses less digits than its factorization.

1206600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1206600480 is about 34736.1552276587. The cubic root of 1206600480 is about 1064.6033568903.

The spelling of 1206600480 in words is "one billion, two hundred six million, six hundred thousand, four hundred eighty".