414022340 has 24 divisors (see below), whose sum is σ = 870027480. Its totient is φ = 165498368.

The previous prime is 414022339. The next prime is 414022363. The reversal of 414022340 is 43220414.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 412821124 = 1096^2 + 20318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 28124 + ... + 40236.

It is an arithmetic number, because the mean of its divisors is an integer number (36251145).

Almost surely, 2^414022340 is an apocalyptic number.

It is an amenable number.

414022340 is an abundant number, since it is smaller than the sum of its proper divisors (456005140).

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

414022340 is a wasteful number, since it uses less digits than its factorization.

414022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13831 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 414022340 is about 20347.5389175202. The cubic root of 414022340 is about 745.3173970015.

Adding to 414022340 its reverse (43220414), we get a palindrome (457242754).

The spelling of 414022340 in words is "four hundred fourteen million, twenty-two thousand, three hundred forty".