947393280 has 288 divisors, whose sum is σ = 3414297600. Its totient is φ = 248721408.

The previous prime is 947393269. The next prime is 947393287. The reversal of 947393280 is 82393749.

It is a happy number.

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

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 (947393287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730067 + ... + 2730413.

It is an arithmetic number, because the mean of its divisors is an integer number (11855200).

Almost surely, 2^947393280 is an apocalyptic number.

947393280 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 947393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707148800).

947393280 is an abundant number, since it is smaller than the sum of its proper divisors (2466904320).

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

947393280 is a wasteful number, since it uses less digits than its factorization.

947393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 947393280 is about 30779.7543849849. The cubic root of 947393280 is about 982.1476156017.

The spelling of 947393280 in words is "nine hundred forty-seven million, three hundred ninety-three thousand, two hundred eighty".