214749360 has 240 divisors, whose sum is σ = 860882400. Its totient is φ = 49061376.

The previous prime is 214749347. The next prime is 214749371. The reversal of 214749360 is 63947412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×214749360² = 92234575240819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104826 + ... + 106854.

It is an arithmetic number, because the mean of its divisors is an integer number (3587010).

Almost surely, 2^214749360 is an apocalyptic number.

214749360 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 214749360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430441200).

214749360 is an abundant number, since it is smaller than the sum of its proper divisors (646133040).

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

214749360 is a wasteful number, since it uses less digits than its factorization.

214749360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 214749360 is about 14654.3290532184. The cubic root of 214749360 is about 598.8397578431.

The spelling of 214749360 in words is "two hundred fourteen million, seven hundred forty-nine thousand, three hundred sixty".