214462720 has 72 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 85063680.

The previous prime is 214462697. The next prime is 214462723. The reversal of 214462720 is 27264412.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (214462723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167041 + ... + 168319.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^214462720 is an apocalyptic number.

214462720 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 214462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

214462720 is an abundant number, since it is smaller than the sum of its proper divisors (303568640).

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

214462720 is a wasteful number, since it uses less digits than its factorization.

214462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 214462720 is about 14644.5457423575. The cubic root of 214462720 is about 598.5732023629.

The spelling of 214462720 in words is "two hundred fourteen million, four hundred sixty-two thousand, seven hundred twenty".