210312414 has 72 divisors (see below), whose sum is σ = 513294600. Its totient is φ = 61861536.

The previous prime is 210312413. The next prime is 210312419. The reversal of 210312414 is 414213012.

210312414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210312414² = 88462622965014792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210312413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122937 + ... + 124635.

Almost surely, 2^210312414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210312414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256647300).

210312414 is an abundant number, since it is smaller than the sum of its proper divisors (302982186).

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

210312414 is a wasteful number, since it uses less digits than its factorization.

210312414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 210312414 is about 14502.1520471963. The cubic root of 210312414 is about 594.6868054880.

Adding to 210312414 its reverse (414213012), we get a palindrome (624525426).

The spelling of 210312414 in words is "two hundred ten million, three hundred twelve thousand, four hundred fourteen".