415820401 has 8 divisors (see below), whose sum is σ = 428349600. Its totient is φ = 403404960.

The previous prime is 415820389. The next prime is 415820407. The reversal of 415820401 is 104028514.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415820401 - 2⁵ = 415820369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415820407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20991 + ... + 35668.

It is an arithmetic number, because the mean of its divisors is an integer number (53543700).

Almost surely, 2^415820401 is an apocalyptic number.

415820401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

415820401 is a deficient number, since it is larger than the sum of its proper divisors (12529199).

415820401 is a wasteful number, since it uses less digits than its factorization.

415820401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56879.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 415820401 is about 20391.6747963477. The cubic root of 415820401 is about 746.3947871704.

Adding to 415820401 its reverse (104028514), we get a palindrome (519848915).

The spelling of 415820401 in words is "four hundred fifteen million, eight hundred twenty thousand, four hundred one".