114532400 has 60 divisors (see below), whose sum is σ = 291367512. Its totient is φ = 43115520.

The previous prime is 114532381. The next prime is 114532403. The reversal of 114532400 is 4235411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114532403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1622 + ... + 15221.

Almost surely, 2^114532400 is an apocalyptic number.

114532400 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 114532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145683756).

114532400 is an abundant number, since it is smaller than the sum of its proper divisors (176835112).

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

114532400 is a wasteful number, since it uses less digits than its factorization.

114532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16867 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 114532400 is about 10701.9811250067. The cubic root of 114532400 is about 485.6344126363.

Adding to 114532400 its reverse (4235411), we get a palindrome (118767811).

The spelling of 114532400 in words is "one hundred fourteen million, five hundred thirty-two thousand, four hundred".