9230400 has 126 divisors (see below), whose sum is σ = 32858202. Its totient is φ = 2457600.

The previous prime is 9230369. The next prime is 9230407. The reversal of 9230400 is 40329.

It can be written as a sum of positive squares in 3 ways, for example, as 2005056 + 7225344 = 1416^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9230407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14080 + ... + 14720.

Almost surely, 2^9230400 is an apocalyptic number.

9230400 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 9230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429101).

9230400 is an abundant number, since it is smaller than the sum of its proper divisors (23627802).

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

9230400 is a wasteful number, since it uses less digits than its factorization.

9230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 9230400 is about 3038.1573362813. The cubic root of 9230400 is about 209.7684522704.

Adding to 9230400 its reverse (40329), we get a palindrome (9270729).

It can be divided in two parts, 9 and 230400, that multiplied together give a square (2073600 = 1440²).

The spelling of 9230400 in words is "nine million, two hundred thirty thousand, four hundred".