971604480 has 640 divisors, whose sum is σ = 4072882176. Its totient is φ = 191692800.

The previous prime is 971604461. The next prime is 971604493. The reversal of 971604480 is 84406179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18332134 + ... + 18332186.

Almost surely, 2^971604480 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 971604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036441088).

971604480 is an abundant number, since it is smaller than the sum of its proper divisors (3101277696).

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

971604480 is a wasteful number, since it uses less digits than its factorization.

971604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 971604480 is about 31170.5707358720. The cubic root of 971604480 is about 990.4437965361.

The spelling of 971604480 in words is "nine hundred seventy-one million, six hundred four thousand, four hundred eighty".