415000 has 40 divisors (see below), whose sum is σ = 984060. Its totient is φ = 164000.

The previous prime is 414991. The next prime is 415013. The reversal of 415000 is 514.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4959 + ... + 5041.

2⁴¹⁵⁰⁰⁰ is an apocalyptic number.

415000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492030).

415000 is an abundant number, since it is smaller than the sum of its proper divisors (569060).

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

415000 is an equidigital number, since it uses as much as digits as its factorization.

415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 415000 is about 644.2049363363. The cubic root of 415000 is about 74.5903592589.

Adding to 415000 its reverse (514), we get a palindrome (415514).

It can be divided in two parts, 41 and 5000, that added together give a square (5041 = 71²).

The spelling of 415000 in words is "four hundred fifteen thousand".