972493200 has 540 divisors, whose sum is σ = 4058975700. Its totient is φ = 214824960.

The previous prime is 972493189. The next prime is 972493201. The reversal of 972493200 is 2394279.

972493200 is a `hidden beast` number, since 97 + 249 + 320 + 0 = 666.

972493200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16941456 + 955551744 = 4116^2 + 30912^2 .

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 (972493201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6526726 + ... + 6526874.

Almost surely, 2^972493200 is an apocalyptic number.

972493200 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 972493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029487850).

972493200 is an abundant number, since it is smaller than the sum of its proper divisors (3086482500).

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

972493200 is a wasteful number, since it uses less digits than its factorization.

972493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

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

The square root of 972493200 is about 31184.8232318222. The cubic root of 972493200 is about 990.7456885735.

The spelling of 972493200 in words is "nine hundred seventy-two million, four hundred ninety-three thousand, two hundred".