973814400 has 720 divisors, whose sum is σ = 4111058490. Its totient is φ = 225607680.

The previous prime is 973814399. The next prime is 973814407. The reversal of 973814400 is 4418379.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 115089984 + 858724416 = 10728^2 + 29304^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (973814407) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 57283192 + ... + 57283208.

Almost surely, 2^973814400 is an apocalyptic number.

973814400 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 973814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055529245).

973814400 is an abundant number, since it is smaller than the sum of its proper divisors (3137244090).

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

973814400 is a wasteful number, since it uses less digits than its factorization.

973814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 973814400 is about 31205.9994231878. Note that the first 3 decimals coincide. The cubic root of 973814400 is about 991.1941513060.

Adding to 973814400 its sum of digits (36), we get a square (973814436 = 31206²).

The spelling of 973814400 in words is "nine hundred seventy-three million, eight hundred fourteen thousand, four hundred".