114413000 has 96 divisors (see below), whose sum is σ = 290333160. Its totient is φ = 42182400.

The previous prime is 114412999. The next prime is 114413023. The reversal of 114413000 is 314411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6959044 + 107453956 = 2638^2 + 10366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168662 + ... + 169338.

Almost surely, 2^114413000 is an apocalyptic number.

114413000 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 114413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145166580).

114413000 is an abundant number, since it is smaller than the sum of its proper divisors (175920160).

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

114413000 is a wasteful number, since it uses less digits than its factorization.

114413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114413000 is about 10696.4012639766. The cubic root of 114413000 is about 485.4655960388.

Adding to 114413000 its reverse (314411), we get a palindrome (114727411).

It can be divided in two parts, 11441 and 3000, that added together give a palindrome (14441).

The spelling of 114413000 in words is "one hundred fourteen million, four hundred thirteen thousand".