10230400 has 96 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 3886080.

The previous prime is 10230397. The next prime is 10230427. The reversal of 10230400 is 403201.

It is a super-2 number, since 2×10230400² = 209322168320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73531 + ... + 73669.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^10230400 is an apocalyptic number.

10230400 is a gapful number since it is divisible by the number (10) 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 10230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

10230400 is an abundant number, since it is smaller than the sum of its proper divisors (16330400).

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

10230400 is a wasteful number, since it uses less digits than its factorization.

10230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10230400 is about 3198.4996482726. The cubic root of 10230400 is about 217.0855276697.

Adding to 10230400 its reverse (403201), we get a palindrome (10633601).

The spelling of 10230400 in words is "ten million, two hundred thirty thousand, four hundred".