973461720 has 256 divisors, whose sum is σ = 3672345600. Its totient is φ = 200540160.

The previous prime is 973461719. The next prime is 973461737. The reversal of 973461720 is 27164379.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265496 + ... + 1266264.

It is an arithmetic number, because the mean of its divisors is an integer number (14345100).

Almost surely, 2^973461720 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 973461720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836172800).

973461720 is an abundant number, since it is smaller than the sum of its proper divisors (2698883880).

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

973461720 is a wasteful number, since it uses less digits than its factorization.

973461720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 973461720 is about 31200.3480749815. The cubic root of 973461720 is about 991.0744787542.

The spelling of 973461720 in words is "nine hundred seventy-three million, four hundred sixty-one thousand, seven hundred twenty".