114802800 has 240 divisors, whose sum is σ = 428067840. Its totient is φ = 25758720.

The previous prime is 114802799. The next prime is 114802801. The reversal of 114802800 is 8208411.

It is an interprime number because it is at equal distance from previous prime (114802799) and next prime (114802801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114802801) 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 47 ways as a sum of consecutive naturals, for example, 663514 + ... + 663686.

It is an arithmetic number, because the mean of its divisors is an integer number (1783616).

Almost surely, 2^114802800 is an apocalyptic number.

114802800 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 114802800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214033920).

114802800 is an abundant number, since it is smaller than the sum of its proper divisors (313265040).

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

114802800 is a wasteful number, since it uses less digits than its factorization.

114802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 114802800 is about 10714.6068523301. The cubic root of 114802800 is about 486.0162910084.

The spelling of 114802800 in words is "one hundred fourteen million, eight hundred two thousand, eight hundred".