974415312 has 320 divisors, whose sum is σ = 3233126400. Its totient is φ = 278691840.

The previous prime is 974415311. The next prime is 974415317. The reversal of 974415312 is 213514479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974415311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5048688 + ... + 5048880.

It is an arithmetic number, because the mean of its divisors is an integer number (10103520).

Almost surely, 2^974415312 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 974415312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616563200).

974415312 is an abundant number, since it is smaller than the sum of its proper divisors (2258711088).

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

974415312 is a wasteful number, since it uses less digits than its factorization.

974415312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 974415312 is about 31215.6260869456. The cubic root of 974415312 is about 991.3979882276.

The spelling of 974415312 in words is "nine hundred seventy-four million, four hundred fifteen thousand, three hundred twelve".