972140400 has 720 divisors, whose sum is σ = 4417217280. Its totient is φ = 200793600.

The previous prime is 972140399. The next prime is 972140401. The reversal of 972140400 is 4041279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (972140399) and next prime (972140401).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972140401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5821117 + ... + 5821283.

It is an arithmetic number, because the mean of its divisors is an integer number (6135024).

Almost surely, 2^972140400 is an apocalyptic number.

972140400 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 972140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208608640).

972140400 is an abundant number, since it is smaller than the sum of its proper divisors (3445076880).

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

972140400 is a wasteful number, since it uses less digits than its factorization.

972140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 972140400 is about 31179.1661209853. The cubic root of 972140400 is about 990.6258668769.

Adding to 972140400 its reverse (4041279), we get a palindrome (976181679).

The spelling of 972140400 in words is "nine hundred seventy-two million, one hundred forty thousand, four hundred".