973609440 has 144 divisors (see below), whose sum is σ = 3142713168. Its totient is φ = 253360128.

The previous prime is 973609433. The next prime is 973609451. The reversal of 973609440 is 44906379.

It is a super-2 number, since 2×973609440² = 1895830683314227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 973609392 and 973609401.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 886972 + ... + 888068.

It is an arithmetic number, because the mean of its divisors is an integer number (21824397).

Almost surely, 2^973609440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571356584).

973609440 is an abundant number, since it is smaller than the sum of its proper divisors (2169103728).

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

973609440 is a wasteful number, since it uses less digits than its factorization.

973609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 973609440 is about 31202.7152664636. The cubic root of 973609440 is about 991.1246071137.

The spelling of 973609440 in words is "nine hundred seventy-three million, six hundred nine thousand, four hundred forty".