974400 has 168 divisors, whose sum is σ = 3779520. Its totient is φ = 215040.

The previous prime is 974387. The next prime is 974401. The reversal of 974400 is 4479.

974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974401) by changing a digit.

974400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33586 + ... + 33614.

2⁹⁷⁴⁴⁰⁰ 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 974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

974400 is an abundant number, since it is smaller than the sum of its proper divisors (2805120).

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

974400 is a wasteful number, since it uses less digits than its factorization.

974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 974400 is about 987.1170143402. The cubic root of 974400 is about 99.1392795245.

Adding to 974400 its reverse (4479), we get a palindrome (978879).

The spelling of 974400 in words is "nine hundred seventy-four thousand, four hundred".