114404420 has 48 divisors (see below), whose sum is σ = 267669360. Its totient is φ = 40782336.

The previous prime is 114404383. The next prime is 114404429. The reversal of 114404420 is 24404411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 114404416 = 2^2 + 10696^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114404392 and 114404401.

It is not an unprimeable number, because it can be changed into a prime (114404429) 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, 47 + ... + 15126.

It is an arithmetic number, because the mean of its divisors is an integer number (5576445).

Almost surely, 2^114404420 is an apocalyptic number.

114404420 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 114404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133834680).

114404420 is an abundant number, since it is smaller than the sum of its proper divisors (153264940).

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

114404420 is a wasteful number, since it uses less digits than its factorization.

114404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 114404420 is about 10696.0001869858. Note that the first 3 decimals coincide. The cubic root of 114404420 is about 485.4534604745.

Adding to 114404420 its reverse (24404411), we get a palindrome (138808831).

Subtracting from 114404420 its reverse (24404411), we obtain a palindrome (90000009).

The spelling of 114404420 in words is "one hundred fourteen million, four hundred four thousand, four hundred twenty".