950413440 has 128 divisors (see below), whose sum is σ = 3189009600. Its totient is φ = 240095232.

The previous prime is 950413439. The next prime is 950413463. The reversal of 950413440 is 44314059.

950413440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 950413398 and 950413407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23454 + ... + 49506.

Almost surely, 2^950413440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594504800).

950413440 is an abundant number, since it is smaller than the sum of its proper divisors (2238596160).

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

950413440 is a wasteful number, since it uses less digits than its factorization.

950413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26094 (or 26082 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 950413440 is about 30828.7761677300. The cubic root of 950413440 is about 983.1901592435.

Adding to 950413440 its reverse (44314059), we get a palindrome (994727499).

The spelling of 950413440 in words is "nine hundred fifty million, four hundred thirteen thousand, four hundred forty".