210414120 has 128 divisors (see below), whose sum is σ = 752855040. Its totient is φ = 45999360.

The previous prime is 210414107. The next prime is 210414137. The reversal of 210414120 is 21414012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210414120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13875 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (5881680).

Almost surely, 2^210414120 is an apocalyptic number.

210414120 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 210414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376427520).

210414120 is an abundant number, since it is smaller than the sum of its proper divisors (542440920).

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

210414120 is a wasteful number, since it uses less digits than its factorization.

210414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 210414120 is about 14505.6582063690. The cubic root of 210414120 is about 594.7826525311.

Adding to 210414120 its reverse (21414012), we get a palindrome (231828132).

The spelling of 210414120 in words is "two hundred ten million, four hundred fourteen thousand, one hundred twenty".