947677440 has 288 divisors, whose sum is σ = 3296563200. Its totient is φ = 231137280.

The previous prime is 947677439. The next prime is 947677469. The reversal of 947677440 is 44776749.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 947677440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261551 + ... + 2261969.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2^947677440 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 947677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

947677440 is an abundant number, since it is smaller than the sum of its proper divisors (2348885760).

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

947677440 is a wasteful number, since it uses less digits than its factorization.

947677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 947677440 is about 30784.3700601458. The cubic root of 947677440 is about 982.2458005104.

The spelling of 947677440 in words is "nine hundred forty-seven million, six hundred seventy-seven thousand, four hundred forty".