971493400 has 48 divisors (see below), whose sum is σ = 2264308200. Its totient is φ = 387636480.

The previous prime is 971493329. The next prime is 971493409. The reversal of 971493400 is 4394179.

971493400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 971493400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971493409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78004 + ... + 89596.

Almost surely, 2^971493400 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 971493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132154100).

971493400 is an abundant number, since it is smaller than the sum of its proper divisors (1292814800).

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

971493400 is a wasteful number, since it uses less digits than its factorization.

971493400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12019 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 971493400 is about 31168.7888760536. The cubic root of 971493400 is about 990.4060504875.

The spelling of 971493400 in words is "nine hundred seventy-one million, four hundred ninety-three thousand, four hundred".