214317400 has 96 divisors (see below), whose sum is σ = 552844080. Its totient is φ = 76608000.

The previous prime is 214317347. The next prime is 214317407. The reversal of 214317400 is 4713412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214317407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133402 + ... + 134998.

Almost surely, 2^214317400 is an apocalyptic number.

214317400 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 214317400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276422040).

214317400 is an abundant number, since it is smaller than the sum of its proper divisors (338526680).

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

214317400 is a wasteful number, since it uses less digits than its factorization.

214317400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 214317400 is about 14639.5833274038. The cubic root of 214317400 is about 598.4379740240.

The spelling of 214317400 in words is "two hundred fourteen million, three hundred seventeen thousand, four hundred".