973142280 has 192 divisors, whose sum is σ = 3464510400. Its totient is φ = 234938880.

The previous prime is 973142279. The next prime is 973142293. The reversal of 973142280 is 82241379.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571811 + ... + 1572429.

It is an arithmetic number, because the mean of its divisors is an integer number (18044325).

Almost surely, 2^973142280 is an apocalyptic number.

973142280 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 973142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732255200).

973142280 is an abundant number, since it is smaller than the sum of its proper divisors (2491368120).

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

973142280 is a wasteful number, since it uses less digits than its factorization.

973142280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

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

The square root of 973142280 is about 31195.2284812918. The cubic root of 973142280 is about 990.9660603608.

The spelling of 973142280 in words is "nine hundred seventy-three million, one hundred forty-two thousand, two hundred eighty".