414313540 has 24 divisors (see below), whose sum is σ = 870636312. Its totient is φ = 165615360.

The previous prime is 414313519. The next prime is 414313541. The reversal of 414313540 is 45313414.

It can be written as a sum of positive squares in 4 ways, for example, as 4008004 + 410305536 = 2002^2 + 20256^2 .

It is not an unprimeable number, because it can be changed into a prime (414313541) 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 7 ways as a sum of consecutive naturals, for example, 28402 + ... + 40438.

It is an arithmetic number, because the mean of its divisors is an integer number (36276513).

Almost surely, 2^414313540 is an apocalyptic number.

It is an amenable number.

414313540 is an abundant number, since it is smaller than the sum of its proper divisors (456322772).

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

414313540 is a wasteful number, since it uses less digits than its factorization.

414313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 414313540 is about 20354.6933162846. The cubic root of 414313540 is about 745.4920941463.

Adding to 414313540 its reverse (45313414), we get a palindrome (459626954).

The spelling of 414313540 in words is "four hundred fourteen million, three hundred thirteen thousand, five hundred forty".