973440 has 144 divisors (see below), whose sum is σ = 3639870. Its totient is φ = 239616.

The previous prime is 973439. The next prime is 973459. The reversal of 973440 is 44379.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 553536 = 648^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973440.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74874 + ... + 74886.

2⁹⁷³⁴⁴⁰ is an apocalyptic number.

973440 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 973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819935).

973440 is an abundant number, since it is smaller than the sum of its proper divisors (2666430).

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

973440 is a wasteful number, since it uses less digits than its factorization.

973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 973440 is about 986.6306299725. The cubic root of 973440 is about 99.1067107707.

The spelling of 973440 in words is "nine hundred seventy-three thousand, four hundred forty".