114462000 has 120 divisors (see below), whose sum is σ = 399840480. Its totient is φ = 30518400.

The previous prime is 114461953. The next prime is 114462079. The reversal of 114462000 is 264411.

114462000 is a `hidden beast` number, since 1 + 1 + 44 + 620 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14821 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (3332004).

Almost surely, 2^114462000 is an apocalyptic number.

114462000 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 114462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199920240).

114462000 is an abundant number, since it is smaller than the sum of its proper divisors (285378480).

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

114462000 is a wasteful number, since it uses less digits than its factorization.

114462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114462000 is about 10698.6915087781. The cubic root of 114462000 is about 485.5348900849.

The spelling of 114462000 in words is "one hundred fourteen million, four hundred sixty-two thousand".