415312001 has 16 divisors (see below), whose sum is σ = 459616080. Its totient is φ = 372833280.

The previous prime is 415311983. The next prime is 415312019. The reversal of 415312001 is 100213514.

It is an interprime number because it is at equal distance from previous prime (415311983) and next prime (415312019).

It can be written as a sum of positive squares in 8 ways, for example, as 23232400 + 392079601 = 4820^2 + 19801^2 .

It is a cyclic number.

It is not a de Polignac number, because 415312001 - 2²² = 411117697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415312201) 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, 197765 + ... + 199853.

It is an arithmetic number, because the mean of its divisors is an integer number (28726005).

Almost surely, 2^415312001 is an apocalyptic number.

415312001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

415312001 is a deficient number, since it is larger than the sum of its proper divisors (44304079).

415312001 is a wasteful number, since it uses less digits than its factorization.

415312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 415312001 is about 20379.2051120744. The cubic root of 415312001 is about 746.0904716013.

Adding to 415312001 its reverse (100213514), we get a palindrome (515525515).

The spelling of 415312001 in words is "four hundred fifteen million, three hundred twelve thousand, one".