114264450 has 72 divisors (see below), whose sum is σ = 316932096. Its totient is φ = 29484000.

The previous prime is 114264427. The next prime is 114264457. The reversal of 114264450 is 54462411.

114264450 is a `hidden beast` number, since 1 + 14 + 2 + 644 + 5 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114264457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9855 + ... + 18045.

Almost surely, 2^114264450 is an apocalyptic number.

114264450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114264450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158466048).

114264450 is an abundant number, since it is smaller than the sum of its proper divisors (202667646).

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

114264450 is a wasteful number, since it uses less digits than its factorization.

114264450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 114264450 is about 10689.4550843343. The cubic root of 114264450 is about 485.2554009625.

It can be divided in two parts, 11426 and 4450, that added together give a square (15876 = 126²).

The spelling of 114264450 in words is "one hundred fourteen million, two hundred sixty-four thousand, four hundred fifty".