114004408 has 64 divisors (see below), whose sum is σ = 259776000. Its totient is φ = 45816192.

The previous prime is 114004393. The next prime is 114004409. The reversal of 114004408 is 804400411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114004409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115485 + ... + 116467.

It is an arithmetic number, because the mean of its divisors is an integer number (4059000).

Almost surely, 2^114004408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114004408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129888000).

114004408 is an abundant number, since it is smaller than the sum of its proper divisors (145771592).

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

114004408 is a wasteful number, since it uses less digits than its factorization.

114004408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 114004408 is about 10677.2846735488. The cubic root of 114004408 is about 484.8870080777.

Adding to 114004408 its reverse (804400411), we get a palindrome (918404819).

The spelling of 114004408 in words is "one hundred fourteen million, four thousand, four hundred eight".