971478144 has 256 divisors, whose sum is σ = 3530016000. Its totient is φ = 256131072.

The previous prime is 971478139. The next prime is 971478169. The reversal of 971478144 is 441874179.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 971478144.

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, 312952 + ... + 316040.

It is an arithmetic number, because the mean of its divisors is an integer number (13789125).

Almost surely, 2^971478144 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 971478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765008000).

971478144 is an abundant number, since it is smaller than the sum of its proper divisors (2558537856).

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

971478144 is a wasteful number, since it uses less digits than its factorization.

971478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3114 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 971478144 is about 31168.5441430940. The cubic root of 971478144 is about 990.4008661278.

The spelling of 971478144 in words is "nine hundred seventy-one million, four hundred seventy-eight thousand, one hundred forty-four".