973478880 has 432 divisors, whose sum is σ = 3774974112. Its totient is φ = 228096000.

The previous prime is 973478839. The next prime is 973478903. The reversal of 973478880 is 88874379.

973478880 is a `hidden beast` number, since 97 + 3 + 478 + 8 + 80 = 666.

It is a super-2 number, since 2×973478880² = 1895322259612108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6446805 + ... + 6446955.

It is an arithmetic number, because the mean of its divisors is an integer number (8738366).

Almost surely, 2^973478880 is an apocalyptic number.

973478880 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 973478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887487056).

973478880 is an abundant number, since it is smaller than the sum of its proper divisors (2801495232).

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

973478880 is a wasteful number, since it uses less digits than its factorization.

973478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 973478880 is about 31200.6230707016. The cubic root of 973478880 is about 991.0803022114.

The spelling of 973478880 in words is "nine hundred seventy-three million, four hundred seventy-eight thousand, eight hundred eighty".