947894400 has 576 divisors, whose sum is σ = 3729136320. Its totient is φ = 237219840.

The previous prime is 947894371. The next prime is 947894407. The reversal of 947894400 is 4498749.

947894400 is a `hidden beast` number, since 94 + 78 + 94 + 400 = 666.

947894400 is digitally balanced in base 2, 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 (576).

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

It is not an unprimeable number, because it can be changed into a prime (947894407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17884774 + ... + 17884826.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^947894400 is an apocalyptic number.

947894400 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 947894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864568160).

947894400 is an abundant number, since it is smaller than the sum of its proper divisors (2781241920).

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

947894400 is a wasteful number, since it uses less digits than its factorization.

947894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 947894400 is about 30787.8937246444. The cubic root of 947894400 is about 982.3207528022.

The spelling of 947894400 in words is "nine hundred forty-seven million, eight hundred ninety-four thousand, four hundred".