415002 has 32 divisors (see below), whose sum is σ = 975744. Its totient is φ = 115200.

The previous prime is 414991. The next prime is 415013. The reversal of 415002 is 200514.

It is an interprime number because it is at equal distance from previous prime (414991) and next prime (415013).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415002.

It is an unprimeable number.

415002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2⁴¹⁵⁰⁰² is an apocalyptic number.

415002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872).

415002 is an abundant number, since it is smaller than the sum of its proper divisors (560742).

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

415002 is a wasteful number, since it uses less digits than its factorization.

415002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 415002 is about 644.2064886354. The cubic root of 415002 is about 74.5904790826.

Adding to 415002 its reverse (200514), we get a palindrome (615516).

The spelling of 415002 in words is "four hundred fifteen thousand, two".