973345248 has 288 divisors, whose sum is σ = 3051240192. Its totient is φ = 304819200.

The previous prime is 973345237. The next prime is 973345249. The reversal of 973345248 is 842543379.

973345248 is a `hidden beast` number, since 97 + 3 + 34 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973345249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13709053 + ... + 13709123.

It is an arithmetic number, because the mean of its divisors is an integer number (10594584).

Almost surely, 2^973345248 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 973345248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525620096).

973345248 is an abundant number, since it is smaller than the sum of its proper divisors (2077894944).

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

973345248 is a wasteful number, since it uses less digits than its factorization.

973345248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 973345248 is about 31198.4815015090. The cubic root of 973345248 is about 991.0349507384.

The spelling of 973345248 in words is "nine hundred seventy-three million, three hundred forty-five thousand, two hundred forty-eight".