9124070400 has 297 divisors, whose sum is σ = 32833476741. Its totient is φ = 2420858880.

The previous prime is 9124070359. The next prime is 9124070411. The reversal of 9124070400 is 40704219.

It is a happy number.

The square root of 9124070400 is 95520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3284665344 + 5839405056 = 57312^2 + 76416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45849501 + ... + 45849699.

Almost surely, 2^9124070400 is an apocalyptic number.

9124070400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9124070400 is the 95520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9124070400

9124070400 is an abundant number, since it is smaller than the sum of its proper divisors (23709406341).

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

9124070400 is a wasteful number, since it uses less digits than its factorization.

9124070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 209 counting only the distinct ones).

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

The cubic root of 9124070400 is about 2089.5986347997.

Adding to 9124070400 its reverse (40704219), we get a palindrome (9164774619).

The spelling of 9124070400 in words is "nine billion, one hundred twenty-four million, seventy thousand, four hundred".