959204480 has 128 divisors (see below), whose sum is σ = 2549836800. Its totient is φ = 342650880.

The previous prime is 959204479. The next prime is 959204501. The reversal of 959204480 is 84402959.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256061 + ... + 259779.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^959204480 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 959204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274918400).

959204480 is an abundant number, since it is smaller than the sum of its proper divisors (1590632320).

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

959204480 is a wasteful number, since it uses less digits than its factorization.

959204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 959204480 is about 30971.0264602257. The cubic root of 959204480 is about 986.2122653981.

The spelling of 959204480 in words is "nine hundred fifty-nine million, two hundred four thousand, four hundred eighty".