974016000 has 480 divisors, whose sum is σ = 3734359200. Its totient is φ = 243302400.

The previous prime is 974015993. The next prime is 974016007. The reversal of 974016000 is 610479.

It is an interprime number because it is at equal distance from previous prime (974015993) and next prime (974016007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974016007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10943956 + ... + 10944044.

It is an arithmetic number, because the mean of its divisors is an integer number (7779915).

Almost surely, 2^974016000 is an apocalyptic number.

974016000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867179600).

974016000 is an abundant number, since it is smaller than the sum of its proper divisors (2760343200).

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

974016000 is a wasteful number, since it uses less digits than its factorization.

974016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 974016000 is about 31209.2294041362. The cubic root of 974016000 is about 991.2625459108.

Adding to 974016000 its reverse (610479), we get a palindrome (974626479).

The spelling of 974016000 in words is "nine hundred seventy-four million, sixteen thousand".