414400232420 has 24 divisors (see below), whose sum is σ = 921431105784. Its totient is φ = 156009499136.

The previous prime is 414400232419. The next prime is 414400232459. The reversal of 414400232420 is 24232004414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 90076816384 + 324323416036 = 300128^2 + 569494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414400232420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609411767 + ... + 609412446.

It is an arithmetic number, because the mean of its divisors is an integer number (38392962741).

Almost surely, 2^414400232420 is an apocalyptic number.

It is an amenable number.

414400232420 is an abundant number, since it is smaller than the sum of its proper divisors (507030873364).

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

414400232420 is a wasteful number, since it uses less digits than its factorization.

414400232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218824239 (or 1218824237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 414400232420 its reverse (24232004414), we get a palindrome (438632236834).

The spelling of 414400232420 in words is "four hundred fourteen billion, four hundred million, two hundred thirty-two thousand, four hundred twenty".