114198400 has 96 divisors (see below), whose sum is σ = 285338880. Its totient is φ = 45158400.

The previous prime is 114198397. The next prime is 114198421. The reversal of 114198400 is 4891411.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406260 + ... + 406540.

It is an arithmetic number, because the mean of its divisors is an integer number (2972280).

Almost surely, 2^114198400 is an apocalyptic number.

114198400 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 114198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669440).

114198400 is an abundant number, since it is smaller than the sum of its proper divisors (171140480).

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

114198400 is a wasteful number, since it uses less digits than its factorization.

114198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 114198400 is about 10686.3651444259. The cubic root of 114198400 is about 485.1618831131.

The spelling of 114198400 in words is "one hundred fourteen million, one hundred ninety-eight thousand, four hundred".