415002144 has 48 divisors (see below), whose sum is σ = 1090460448. Its totient is φ = 138196992.

The previous prime is 415002143. The next prime is 415002149. The reversal of 415002144 is 441200514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 415002144.

It is not an unprimeable number, because it can be changed into a prime (415002143) 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, 154864 + ... + 157520.

It is an arithmetic number, because the mean of its divisors is an integer number (22717926).

Almost surely, 2^415002144 is an apocalyptic number.

It is an amenable number.

415002144 is an abundant number, since it is smaller than the sum of its proper divisors (675458304).

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

415002144 is a wasteful number, since it uses less digits than its factorization.

415002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 415002144 is about 20371.6014098058. The cubic root of 415002144 is about 745.9048770988.

Adding to 415002144 its reverse (441200514), we get a palindrome (856202658).

The spelling of 415002144 in words is "four hundred fifteen million, two thousand, one hundred forty-four".