114824004 has 48 divisors (see below), whose sum is σ = 280452480. Its totient is φ = 36495360.

The previous prime is 114823993. The next prime is 114824029. The reversal of 114824004 is 400428411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148932 + ... + 149700.

It is an arithmetic number, because the mean of its divisors is an integer number (5842760).

Almost surely, 2^114824004 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 114824004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140226240).

114824004 is an abundant number, since it is smaller than the sum of its proper divisors (165628476).

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

114824004 is a wasteful number, since it uses less digits than its factorization.

114824004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 114824004 is about 10715.5962969869. The cubic root of 114824004 is about 486.0462114605.

It can be divided in two parts, 1148 and 24004, that added together give a palindrome (25152).

The spelling of 114824004 in words is "one hundred fourteen million, eight hundred twenty-four thousand, four".