214479840 has 96 divisors (see below), whose sum is σ = 684978336. Its totient is φ = 56401920.

The previous prime is 214479799. The next prime is 214479841. The reversal of 214479840 is 48974412.

214479840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214479841) 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 15 ways as a sum of consecutive naturals, for example, 31980 + ... + 38100.

It is an arithmetic number, because the mean of its divisors is an integer number (7135191).

Almost surely, 2^214479840 is an apocalyptic number.

214479840 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 214479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342489168).

214479840 is an abundant number, since it is smaller than the sum of its proper divisors (470498496).

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

214479840 is a wasteful number, since it uses less digits than its factorization.

214479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 214479840 is about 14645.1302486526. The cubic root of 214479840 is about 598.5891294520.

The spelling of 214479840 in words is "two hundred fourteen million, four hundred seventy-nine thousand, eight hundred forty".