947378304 has 96 divisors (see below), whose sum is σ = 2869729200. Its totient is φ = 299165184.

The previous prime is 947378297. The next prime is 947378309. The reversal of 947378304 is 403873749.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 947378304.

It is not an unprimeable number, because it can be changed into a prime (947378309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 43529.

Almost surely, 2^947378304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 947378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434864600).

947378304 is an abundant number, since it is smaller than the sum of its proper divisors (1922350896).

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

947378304 is a wasteful number, since it uses less digits than its factorization.

947378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43322 (or 43307 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 947378304 is about 30779.5111072285. The cubic root of 947378304 is about 982.1424404470.

It can be divided in two parts, 94737 and 8304, that added together give a square (103041 = 321²).

The spelling of 947378304 in words is "nine hundred forty-seven million, three hundred seventy-eight thousand, three hundred four".