214254000 has 120 divisors (see below), whose sum is σ = 748380672. Its totient is φ = 57129600.

The previous prime is 214253999. The next prime is 214254017. The reversal of 214254000 is 452412.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12049 + ... + 23951.

Almost surely, 2^214254000 is an apocalyptic number.

214254000 is a gapful number since it is divisible by the number (20) 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 214254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374190336).

214254000 is an abundant number, since it is smaller than the sum of its proper divisors (534126672).

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

214254000 is a wasteful number, since it uses less digits than its factorization.

214254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214254000 is about 14637.4178050638. The cubic root of 214254000 is about 598.3789576470.

It can be divided in two parts, 21425 and 4000, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 214254000 in words is "two hundred fourteen million, two hundred fifty-four thousand".