212401410 has 64 divisors (see below), whose sum is σ = 550464768. Its totient is φ = 52141824.

The previous prime is 212401363. The next prime is 212401411. The reversal of 212401410 is 14104212.

It is a super-2 number, since 2×212401410² = 90228717939976200, which contains 22 as substring.

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 212401410.

It is not an unprimeable number, because it can be changed into a prime (212401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285499 + ... + 286241.

It is an arithmetic number, because the mean of its divisors is an integer number (8601012).

Almost surely, 2^212401410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212401410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275232384).

212401410 is an abundant number, since it is smaller than the sum of its proper divisors (338063358).

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

212401410 is a wasteful number, since it uses less digits than its factorization.

212401410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499.

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

The square root of 212401410 is about 14573.9977356935. The cubic root of 212401410 is about 596.6492950149.

Adding to 212401410 its reverse (14104212), we get a palindrome (226505622).

The spelling of 212401410 in words is "two hundred twelve million, four hundred one thousand, four hundred ten".