114404000 has 96 divisors (see below), whose sum is σ = 289061136. Its totient is φ = 44467200.

The previous prime is 114403987. The next prime is 114404021. The reversal of 114404000 is 404411.

It can be written as a sum of positive squares in 8 ways, for example, as 2298256 + 112105744 = 1516^2 + 10588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147614 + ... + 148386.

Almost surely, 2^114404000 is an apocalyptic number.

114404000 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 114404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144530568).

114404000 is an abundant number, since it is smaller than the sum of its proper divisors (174657136).

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

114404000 is an equidigital number, since it uses as much as digits as its factorization.

114404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114404000 is about 10695.9805534603. The cubic root of 114404000 is about 485.4528664103.

Adding to 114404000 its reverse (404411), we get a palindrome (114808411).

The spelling of 114404000 in words is "one hundred fourteen million, four hundred four thousand".