214404720 has 80 divisors (see below), whose sum is σ = 669540480. Its totient is φ = 56754432.

The previous prime is 214404709. The next prime is 214404727. The reversal of 214404720 is 27404412.

214404720 is digitally balanced in base 2, 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 (80).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214404727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30147 + ... + 36573.

It is an arithmetic number, because the mean of its divisors is an integer number (8369256).

Almost surely, 2^214404720 is an apocalyptic number.

214404720 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 214404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334770240).

214404720 is an abundant number, since it is smaller than the sum of its proper divisors (455135760).

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

214404720 is a wasteful number, since it uses less digits than its factorization.

214404720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 214404720 is about 14642.5653490090. The cubic root of 214404720 is about 598.5192374657.

The spelling of 214404720 in words is "two hundred fourteen million, four hundred four thousand, seven hundred twenty".