973165440 has 256 divisors, whose sum is σ = 3377848320. Its totient is φ = 236888064.

The previous prime is 973165421. The next prime is 973165469. The reversal of 973165440 is 44561379.

It is a super-2 number, since 2×973165440² = 1894101947220787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169767 + ... + 3170073.

It is an arithmetic number, because the mean of its divisors is an integer number (13194720).

Almost surely, 2^973165440 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 973165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688924160).

973165440 is an abundant number, since it is smaller than the sum of its proper divisors (2404682880).

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

973165440 is a wasteful number, since it uses less digits than its factorization.

973165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 973165440 is about 31195.5996896998. The cubic root of 973165440 is about 990.9739216956.

The spelling of 973165440 in words is "nine hundred seventy-three million, one hundred sixty-five thousand, four hundred forty".