413514240 has 160 divisors (see below), whose sum is σ = 1380018816. Its totient is φ = 105431040.

The previous prime is 413514221. The next prime is 413514247. The reversal of 413514240 is 42415314.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 413514240.

It is not an unprimeable number, because it can be changed into a prime (413514247) 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 15 ways as a sum of consecutive naturals, for example, 175470 + ... + 177810.

Almost surely, 2^413514240 is an apocalyptic number.

413514240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690009408).

413514240 is an abundant number, since it is smaller than the sum of its proper divisors (966504576).

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

413514240 is a wasteful number, since it uses less digits than its factorization.

413514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 413514240 is about 20335.0495450589. The cubic root of 413514240 is about 745.0123806179.

Adding to 413514240 its reverse (42415314), we get a palindrome (455929554).

The spelling of 413514240 in words is "four hundred thirteen million, five hundred fourteen thousand, two hundred forty".