975246400 has 84 divisors (see below), whose sum is σ = 2440625040. Its totient is φ = 383449600.

The previous prime is 975246397. The next prime is 975246401. The reversal of 975246400 is 4642579.

It is a super-2 number, since 2×975246400² = 1902211081425920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 975246400.

It is not an unprimeable number, because it can be changed into a prime (975246401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89235 + ... + 99565.

It is an arithmetic number, because the mean of its divisors is an integer number (29055060).

Almost surely, 2^975246400 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 975246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220312520).

975246400 is an abundant number, since it is smaller than the sum of its proper divisors (1465378640).

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

975246400 is a wasteful number, since it uses less digits than its factorization.

975246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 975246400 is about 31228.9353004549. The cubic root of 975246400 is about 991.6797656941.

Adding to 975246400 its reverse (4642579), we get a palindrome (979888979).

The spelling of 975246400 in words is "nine hundred seventy-five million, two hundred forty-six thousand, four hundred".