973166400 has 252 divisors, whose sum is σ = 3588402272. Its totient is φ = 259407360.

The previous prime is 973166323. The next prime is 973166413. The reversal of 973166400 is 4661379.

973166400 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 6 + 640 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 387549 + ... + 390051.

Almost surely, 2^973166400 is an apocalyptic number.

973166400 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 973166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794201136).

973166400 is an abundant number, since it is smaller than the sum of its proper divisors (2615235872).

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

973166400 is a wasteful number, since it uses less digits than its factorization.

973166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973166400 is about 31195.6150764815. The cubic root of 973166400 is about 990.9742475513.

The spelling of 973166400 in words is "nine hundred seventy-three million, one hundred sixty-six thousand, four hundred".