947980800 has 480 divisors, whose sum is σ = 3764967360. Its totient is φ = 232243200.

The previous prime is 947980793. The next prime is 947980801. The reversal of 947980800 is 8089749.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (947980801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492695 + ... + 4492905.

It is an arithmetic number, because the mean of its divisors is an integer number (7843682).

Almost surely, 2^947980800 is an apocalyptic number.

947980800 is a gapful number since it is divisible by the number (90) 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 947980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882483680).

947980800 is an abundant number, since it is smaller than the sum of its proper divisors (2816986560).

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

947980800 is a wasteful number, since it uses less digits than its factorization.

947980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 947980800 is about 30789.2968415974. The cubic root of 947980800 is about 982.3505978758.

The spelling of 947980800 in words is "nine hundred forty-seven million, nine hundred eighty thousand, eight hundred".