414001540 has 12 divisors (see below), whose sum is σ = 869403276. Its totient is φ = 165600608.

The previous prime is 414001537. The next prime is 414001589. The reversal of 414001540 is 45100414.

It can be written as a sum of positive squares in 2 ways, for example, as 134977924 + 279023616 = 11618^2 + 16704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10350019 + ... + 10350058.

It is an arithmetic number, because the mean of its divisors is an integer number (72450273).

Almost surely, 2^414001540 is an apocalyptic number.

It is an amenable number.

414001540 is an abundant number, since it is smaller than the sum of its proper divisors (455401736).

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

414001540 is a wasteful number, since it uses less digits than its factorization.

414001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20700086 (or 20700084 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 414001540 is about 20347.0277927760. The cubic root of 414001540 is about 745.3049154999.

Adding to 414001540 its reverse (45100414), we get a palindrome (459101954).

The spelling of 414001540 in words is "four hundred fourteen million, one thousand, five hundred forty".