415002401 has 16 divisors (see below), whose sum is σ = 463345920. Its totient is φ = 368511120.

The previous prime is 415002391. The next prime is 415002403. The reversal of 415002401 is 104200514.

It is a cyclic number.

It is not a de Polignac number, because 415002401 - 2¹⁸ = 414740257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 415002401.

It is not an unprimeable number, because it can be changed into a prime (415002403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103826 + ... + 107748.

It is an arithmetic number, because the mean of its divisors is an integer number (28959120).

Almost surely, 2^415002401 is an apocalyptic number.

It is an amenable number.

415002401 is a deficient number, since it is larger than the sum of its proper divisors (48343519).

415002401 is a wasteful number, since it uses less digits than its factorization.

415002401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 415002401 is about 20371.6077176054. The cubic root of 415002401 is about 745.9050310720.

Adding to 415002401 its reverse (104200514), we get a palindrome (519202915).

The spelling of 415002401 in words is "four hundred fifteen million, two thousand, four hundred one".