214418000 has 40 divisors (see below), whose sum is σ = 518467560. Its totient is φ = 85766400.

The previous prime is 214417993. The next prime is 214418027. The reversal of 214418000 is 814412.

It can be written as a sum of positive squares in 4 ways, for example, as 66455104 + 147962896 = 8152^2 + 12164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51605 + ... + 55604.

It is an arithmetic number, because the mean of its divisors is an integer number (12961689).

Almost surely, 2^214418000 is an apocalyptic number.

214418000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214418000 is an abundant number, since it is smaller than the sum of its proper divisors (304049560).

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

214418000 is a wasteful number, since it uses less digits than its factorization.

214418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107232 (or 107216 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 214418000 is about 14643.0188144385. The cubic root of 214418000 is about 598.5315944253.

It can be divided in two parts, 214 and 418000, that multiplied together give a triangular number (89452000 = T₁₃₃₇₅).

The spelling of 214418000 in words is "two hundred fourteen million, four hundred eighteen thousand".