214172400 has 120 divisors (see below), whose sum is σ = 738893680. Its totient is φ = 52715520.

The previous prime is 214172353. The next prime is 214172447. The reversal of 214172400 is 4271412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214172353) and next prime (214172447).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×214172400³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8736 + ... + 22464.

Almost surely, 2^214172400 is an apocalyptic number.

214172400 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 214172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369446840).

214172400 is an abundant number, since it is smaller than the sum of its proper divisors (524721280).

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

214172400 is a wasteful number, since it uses less digits than its factorization.

214172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763 (or 13752 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 214172400 is about 14634.6301627339. The cubic root of 214172400 is about 598.3029825224.

The spelling of 214172400 in words is "two hundred fourteen million, one hundred seventy-two thousand, four hundred".