210120414 has 32 divisors (see below), whose sum is σ = 480802560. Its totient is φ = 59968512.

The previous prime is 210120413. The next prime is 210120439. The reversal of 210120414 is 414021012.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210120393 and 210120402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120413) 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, 46257 + ... + 50595.

It is an arithmetic number, because the mean of its divisors is an integer number (15025080).

Almost surely, 2^210120414 is an apocalyptic number.

210120414 is an abundant number, since it is smaller than the sum of its proper divisors (270682146).

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

210120414 is a wasteful number, since it uses less digits than its factorization.

210120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504.

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

The square root of 210120414 is about 14495.5308285002. The cubic root of 210120414 is about 594.5057817305.

Adding to 210120414 its reverse (414021012), we get a palindrome (624141426).

The spelling of 210120414 in words is "two hundred ten million, one hundred twenty thousand, four hundred fourteen".