415960 has 16 divisors (see below), whose sum is σ = 936000. Its totient is φ = 166368.

The previous prime is 415957. The next prime is 415963. The reversal of 415960 is 69514.

415960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (415957) and next prime (415963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5160 + ... + 5239.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁴¹⁵⁹⁶⁰ is an apocalyptic number.

415960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415960 is an abundant number, since it is smaller than the sum of its proper divisors (520040).

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

415960 is a wasteful number, since it uses less digits than its factorization.

415960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 415960 is about 644.9496104348. The cubic root of 415960 is about 74.6478304243.

The spelling of 415960 in words is "four hundred fifteen thousand, nine hundred sixty".