414052340 has 96 divisors (see below), whose sum is σ = 1001458080. Its totient is φ = 142442496.

The previous prime is 414052307. The next prime is 414052349. The reversal of 414052340 is 43250414.

It can be written as a sum of positive squares in 16 ways, for example, as 212809744 + 201242596 = 14588^2 + 14186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414052349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499046 + ... + 499874.

It is an arithmetic number, because the mean of its divisors is an integer number (10431855).

Almost surely, 2^414052340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500729040).

414052340 is an abundant number, since it is smaller than the sum of its proper divisors (587405740).

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

414052340 is a wasteful number, since it uses less digits than its factorization.

414052340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 414052340 is about 20348.2760940577. The cubic root of 414052340 is about 745.3353984309.

The spelling of 414052340 in words is "four hundred fourteen million, fifty-two thousand, three hundred forty".