415950 has 48 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 106720.

The previous prime is 415949. The next prime is 415951. The reversal of 415950 is 59514.

It is an interprime number because it is at equal distance from previous prime (415949) and next prime (415951).

It is a self number, because there is not a number n which added to its sum of digits gives 415950.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415950.

It is not an unprimeable number, because it can be changed into a prime (415951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7021 + ... + 7079.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁴¹⁵⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

415950 is an abundant number, since it is smaller than the sum of its proper divisors (655410).

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

415950 is a wasteful number, since it uses less digits than its factorization.

415950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 415950 is about 644.9418578446. The cubic root of 415950 is about 74.6472322223.

The spelling of 415950 in words is "four hundred fifteen thousand, nine hundred fifty".