973140480 has 600 divisors, whose sum is σ = 3961551132. Its totient is φ = 226934784.

The previous prime is 973140463. The next prime is 973140517. The reversal of 973140480 is 84041379.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 67371264 = 30096^2 + 8208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51217911 + ... + 51217929.

Almost surely, 2^973140480 is an apocalyptic number.

973140480 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 973140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980775566).

973140480 is an abundant number, since it is smaller than the sum of its proper divisors (2988410652).

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

973140480 is a wasteful number, since it uses less digits than its factorization.

973140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 973140480 is about 31195.1996307124. The cubic root of 973140480 is about 990.9654493710.

The spelling of 973140480 in words is "nine hundred seventy-three million, one hundred forty thousand, four hundred eighty".