973909440 has 224 divisors, whose sum is σ = 3926799360. Its totient is φ = 222594048.

The previous prime is 973909421. The next prime is 973909463. The reversal of 973909440 is 44909379.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×973909440² = 1896999194642227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 52429 + ... + 68531.

Almost surely, 2^973909440 is an apocalyptic number.

973909440 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 973909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963399680).

973909440 is an abundant number, since it is smaller than the sum of its proper divisors (2952889920).

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

973909440 is a wasteful number, since it uses less digits than its factorization.

973909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136 (or 16120 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 973909440 is about 31207.5221701435. The cubic root of 973909440 is about 991.2263956528.

The spelling of 973909440 in words is "nine hundred seventy-three million, nine hundred nine thousand, four hundred forty".