214186440 has 256 divisors, whose sum is σ = 738017280. Its totient is φ = 49351680.

The previous prime is 214186429. The next prime is 214186493. The reversal of 214186440 is 44681412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214186398 and 214186407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079429 + ... + 2079531.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^214186440 is an apocalyptic number.

214186440 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 214186440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

214186440 is an abundant number, since it is smaller than the sum of its proper divisors (523830840).

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

214186440 is a wasteful number, since it uses less digits than its factorization.

214186440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214186440 is about 14635.1098390139. The cubic root of 214186440 is about 598.3160560873.

The spelling of 214186440 in words is "two hundred fourteen million, one hundred eighty-six thousand, four hundred forty".