414240320 has 56 divisors (see below), whose sum is σ = 1062298104. Its totient is φ = 152948736.

The previous prime is 414240317. The next prime is 414240329. The reversal of 414240320 is 23042414.

It can be written as a sum of positive squares in 4 ways, for example, as 39740416 + 374499904 = 6304^2 + 19352^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 414240292 and 414240301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414240329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45629 + ... + 53948.

It is an arithmetic number, because the mean of its divisors is an integer number (18969609).

Almost surely, 2^414240320 is an apocalyptic number.

414240320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414240320 is an abundant number, since it is smaller than the sum of its proper divisors (648057784).

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

414240320 is a wasteful number, since it uses less digits than its factorization.

414240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99607 (or 99597 counting only the distinct ones).

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

The square root of 414240320 is about 20352.8946344249. The cubic root of 414240320 is about 745.4481755986.

Adding to 414240320 its reverse (23042414), we get a palindrome (437282734).

The spelling of 414240320 in words is "four hundred fourteen million, two hundred forty thousand, three hundred twenty".