959440416 has 96 divisors (see below), whose sum is σ = 2892153600. Its totient is φ = 275431680.

The previous prime is 959440369. The next prime is 959440429. The reversal of 959440416 is 614044959.

959440416 is digitally balanced in base 2, 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 (96).

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, 3846 + ... + 43973.

It is an arithmetic number, because the mean of its divisors is an integer number (30126600).

Almost surely, 2^959440416 is an apocalyptic number.

959440416 is a gapful number since it is divisible by the number (96) 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 959440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446076800).

959440416 is an abundant number, since it is smaller than the sum of its proper divisors (1932713184).

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

959440416 is a wasteful number, since it uses less digits than its factorization.

959440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47862 (or 47854 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 959440416 is about 30974.8352053728. The cubic root of 959440416 is about 986.2931184754.

The spelling of 959440416 in words is "nine hundred fifty-nine million, four hundred forty thousand, four hundred sixteen".