114328440 has 192 divisors, whose sum is σ = 394243200. Its totient is φ = 28686336.

The previous prime is 114328429. The next prime is 114328447. The reversal of 114328440 is 44823411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114328447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490564 + ... + 490796.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 2^114328440 is an apocalyptic number.

114328440 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 114328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121600).

114328440 is an abundant number, since it is smaller than the sum of its proper divisors (279914760).

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

114328440 is a wasteful number, since it uses less digits than its factorization.

114328440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 114328440 is about 10692.4478020704. The cubic root of 114328440 is about 485.3459677674.

The spelling of 114328440 in words is "one hundred fourteen million, three hundred twenty-eight thousand, four hundred forty".