214129440 has 384 divisors, whose sum is σ = 877201920. Its totient is φ = 47775744.

The previous prime is 214129339. The next prime is 214129451. The reversal of 214129440 is 44921412.

It is a happy number.

214129440 is a `hidden beast` number, since 214 + 1 + 2 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2207472 + ... + 2207568.

It is an arithmetic number, because the mean of its divisors is an integer number (2284380).

Almost surely, 2^214129440 is an apocalyptic number.

214129440 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 214129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438600960).

214129440 is an abundant number, since it is smaller than the sum of its proper divisors (663072480).

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

214129440 is a wasteful number, since it uses less digits than its factorization.

214129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 214129440 is about 14633.1623376494. The cubic root of 214129440 is about 598.2629760994.

The spelling of 214129440 in words is "two hundred fourteen million, one hundred twenty-nine thousand, four hundred forty".