1152400 has 60 divisors (see below), whose sum is σ = 2875312. Its totient is φ = 443520.

The previous prime is 1152397. The next prime is 1152419. The reversal of 1152400 is 42511.

It is an Ulam number.

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, 17167 + ... + 17233.

2^1152400 is an apocalyptic number.

1152400 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 1152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437656).

1152400 is an abundant number, since it is smaller than the sum of its proper divisors (1722912).

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

1152400 is a wasteful number, since it uses less digits than its factorization.

1152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1152400 is about 1073.4989520256. The cubic root of 1152400 is about 104.8417874263.

Adding to 1152400 its reverse (42511), we get a palindrome (1194911).

The spelling of 1152400 in words is "one million, one hundred fifty-two thousand, four hundred".