973414400 has 252 divisors, whose sum is σ = 2836978578. Its totient is φ = 330301440.

The previous prime is 973414361. The next prime is 973414411. The reversal of 973414400 is 4414379.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 698650624 + 274763776 = 26432^2 + 16576^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10035152 + ... + 10035248.

Almost surely, 2^973414400 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 973414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418489289).

973414400 is an abundant number, since it is smaller than the sum of its proper divisors (1863564178).

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

973414400 is an equidigital number, since it uses as much as digits as its factorization.

973414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 973414400 is about 31199.5897408924. The cubic root of 973414400 is about 991.0584197751.

Adding to 973414400 its reverse (4414379), we get a palindrome (977828779).

The spelling of 973414400 in words is "nine hundred seventy-three million, four hundred fourteen thousand, four hundred".