413995950 has 72 divisors (see below), whose sum is σ = 1114736688. Its totient is φ = 110154240.

The previous prime is 413995943. The next prime is 413995957. The reversal of 413995950 is 59599314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413995943) and next prime (413995957).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 413995896 and 413995905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413995957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302167 + ... + 303533.

It is an arithmetic number, because the mean of its divisors is an integer number (15482454).

Almost surely, 2^413995950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413995950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557368344).

413995950 is an abundant number, since it is smaller than the sum of its proper divisors (700740738).

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

413995950 is a wasteful number, since it uses less digits than its factorization.

413995950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 413995950 is about 20346.8904258120. The cubic root of 413995950 is about 745.3015610251.

The spelling of 413995950 in words is "four hundred thirteen million, nine hundred ninety-five thousand, nine hundred fifty".