4947465600 has 1152 divisors, whose sum is σ = 23203514880. Its totient is φ = 973209600.

The previous prime is 4947465581. The next prime is 4947465617. The reversal of 4947465600 is 65647494.

4947465600 is a `hidden beast` number, since 4 + 9 + 47 + 46 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51004752 + ... + 51004848.

It is an arithmetic number, because the mean of its divisors is an integer number (20141940).

Almost surely, 2^4947465600 is an apocalyptic number.

4947465600 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 4947465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601757440).

4947465600 is an abundant number, since it is smaller than the sum of its proper divisors (18256049280).

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

4947465600 is a wasteful number, since it uses less digits than its factorization.

4947465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4947465600 is about 70338.2228948102. Note that the first 3 decimals coincide. The cubic root of 4947465600 is about 1703.9660113567.

The spelling of 4947465600 in words is "four billion, nine hundred forty-seven million, four hundred sixty-five thousand, six hundred".