114458000 has 80 divisors (see below), whose sum is σ = 279327360. Its totient is φ = 45360000.

The previous prime is 114457997. The next prime is 114458017. The reversal of 114458000 is 854411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301811 + ... + 302189.

It is an arithmetic number, because the mean of its divisors is an integer number (3491592).

Almost surely, 2^114458000 is an apocalyptic number.

114458000 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 114458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139663680).

114458000 is an abundant number, since it is smaller than the sum of its proper divisors (164869360).

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

114458000 is a wasteful number, since it uses less digits than its factorization.

114458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 114458000 is about 10698.5045683965. The cubic root of 114458000 is about 485.5292341695.

The spelling of 114458000 in words is "one hundred fourteen million, four hundred fifty-eight thousand".