8478910440 has 1536 divisors, whose sum is σ = 41184460800. Its totient is φ = 1505433600.

The previous prime is 8478910399. The next prime is 8478910477. The reversal of 8478910440 is 440198748.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 273513225 + ... + 273513255.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 2^8478910440 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 8478910440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592230400).

8478910440 is an abundant number, since it is smaller than the sum of its proper divisors (32705550360).

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

8478910440 is a wasteful number, since it uses less digits than its factorization.

8478910440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8478910440 is about 92080.9993429698. Note that the first 3 decimals coincide. The cubic root of 8478910440 is about 2039.1383038908.

The spelling of 8478910440 in words is "eight billion, four hundred seventy-eight million, nine hundred ten thousand, four hundred forty".