214404432 has 80 divisors (see below), whose sum is σ = 623769600. Its totient is φ = 62870400.

The previous prime is 214404419. The next prime is 214404467. The reversal of 214404432 is 234404412.

It is a happy number.

It is a super-2 number, since 2×214404432² = 91938520922485248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9819 + ... + 22917.

It is an arithmetic number, because the mean of its divisors is an integer number (7797120).

Almost surely, 2^214404432 is an apocalyptic number.

214404432 is a gapful number since it is divisible by the number (22) 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 214404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311884800).

214404432 is an abundant number, since it is smaller than the sum of its proper divisors (409365168).

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

214404432 is a wasteful number, since it uses less digits than its factorization.

214404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 214404432 is about 14642.5555146634. Note that the first 4 decimals coincide. The cubic root of 214404432 is about 598.5189694778.

Adding to 214404432 its reverse (234404412), we get a palindrome (448808844).

The spelling of 214404432 in words is "two hundred fourteen million, four hundred four thousand, four hundred thirty-two".