214521400 has 48 divisors (see below), whose sum is σ = 525022200. Its totient is φ = 81290880.

The previous prime is 214521397. The next prime is 214521401. The reversal of 214521400 is 4125412.

It is a super-3 number, since 3×214521400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214521401) 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 11 ways as a sum of consecutive naturals, for example, 24427 + ... + 32026.

Almost surely, 2^214521400 is an apocalyptic number.

214521400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214521400 is an abundant number, since it is smaller than the sum of its proper divisors (310500800).

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

214521400 is a wasteful number, since it uses less digits than its factorization.

214521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56488 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 214521400 is about 14646.5490816096. The cubic root of 214521400 is about 598.6277900514.

Adding to 214521400 its reverse (4125412), we get a palindrome (218646812).

The spelling of 214521400 in words is "two hundred fourteen million, five hundred twenty-one thousand, four hundred".