114683400 has 288 divisors, whose sum is σ = 431613000. Its totient is φ = 27256320.

The previous prime is 114683399. The next prime is 114683407. The reversal of 114683400 is 4386411.

It can be written as a sum of positive squares in 12 ways, for example, as 49364676 + 65318724 = 7026^2 + 8082^2 .

It is a super-3 number, since 3×114683400³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114683407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3954586 + ... + 3954614.

Almost surely, 2^114683400 is an apocalyptic number.

114683400 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 114683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215806500).

114683400 is an abundant number, since it is smaller than the sum of its proper divisors (316929600).

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

114683400 is a wasteful number, since it uses less digits than its factorization.

114683400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114683400 is about 10709.0335698419. The cubic root of 114683400 is about 485.8477397337.

The spelling of 114683400 in words is "one hundred fourteen million, six hundred eighty-three thousand, four hundred".