214169400 has 192 divisors, whose sum is σ = 781423200. Its totient is φ = 53729280.

The previous prime is 214169377. The next prime is 214169401. The reversal of 214169400 is 4961412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214169401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90634 + ... + 92966.

Almost surely, 2^214169400 is an apocalyptic number.

214169400 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 214169400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390711600).

214169400 is an abundant number, since it is smaller than the sum of its proper divisors (567253800).

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

214169400 is a wasteful number, since it uses less digits than its factorization.

214169400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214169400 is about 14634.5276657636. The cubic root of 214169400 is about 598.3001889516.

The spelling of 214169400 in words is "two hundred fourteen million, one hundred sixty-nine thousand, four hundred".