114006400 has 96 divisors (see below), whose sum is σ = 294066000. Its totient is φ = 43591680.

The previous prime is 114006371. The next prime is 114006421. The reversal of 114006400 is 4600411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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, 72826 + ... + 74374.

Almost surely, 2^114006400 is an apocalyptic number.

114006400 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 114006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147033000).

114006400 is an abundant number, since it is smaller than the sum of its proper divisors (180059600).

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

114006400 is a wasteful number, since it uses less digits than its factorization.

114006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114006400 is about 10677.3779552847. The cubic root of 114006400 is about 484.8898322062.

Adding to 114006400 its reverse (4600411), we get a palindrome (118606811).

The spelling of 114006400 in words is "one hundred fourteen million, six thousand, four hundred".