972400 has 120 divisors (see below), whose sum is σ = 2906064. Its totient is φ = 307200.

The previous prime is 972373. The next prime is 972403. The reversal of 972400 is 4279.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57192 + ... + 57208.

2⁹⁷²⁴⁰⁰ 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 972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453032).

972400 is an abundant number, since it is smaller than the sum of its proper divisors (1933664).

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

972400 is a wasteful number, since it uses less digits than its factorization.

972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 972400 is about 986.1034428497. The cubic root of 972400 is about 99.0714037813.

Adding to 972400 its reverse (4279), we get a palindrome (976679).

The spelling of 972400 in words is "nine hundred seventy-two thousand, four hundred".