971214400 has 168 divisors, whose sum is σ = 2625160104. Its totient is φ = 351436800.

The previous prime is 971214397. The next prime is 971214421. The reversal of 971214400 is 4412179.

It can be written as a sum of positive squares in 12 ways, for example, as 492129856 + 479084544 = 22184^2 + 21888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101960 + ... + 1102840.

It is an arithmetic number, because the mean of its divisors is an integer number (15625953).

Almost surely, 2^971214400 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 971214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312580052).

971214400 is an abundant number, since it is smaller than the sum of its proper divisors (1653945704).

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

971214400 is a wasteful number, since it uses less digits than its factorization.

971214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 971214400 is about 31164.3129235990. The cubic root of 971214400 is about 990.3112309226.

Adding to 971214400 its reverse (4412179), we get a palindrome (975626579).

The spelling of 971214400 in words is "nine hundred seventy-one million, two hundred fourteen thousand, four hundred".