973284480 has 384 divisors, whose sum is σ = 3895257600. Its totient is φ = 219340800.

The previous prime is 973284479. The next prime is 973284577. The reversal of 973284480 is 84482379.

973284480 is a `hidden beast` number, since 97 + 3 + 2 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072201 + ... + 4072439.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^973284480 is an apocalyptic number.

973284480 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 973284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947628800).

973284480 is an abundant number, since it is smaller than the sum of its proper divisors (2921973120).

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

973284480 is a wasteful number, since it uses less digits than its factorization.

973284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 973284480 is about 31197.5075927549. The cubic root of 973284480 is about 991.0143261740.

The spelling of 973284480 in words is "nine hundred seventy-three million, two hundred eighty-four thousand, four hundred eighty".