958441312 has 48 divisors (see below), whose sum is σ = 1929312000. Its totient is φ = 468547200.

The previous prime is 958441307. The next prime is 958441321. The reversal of 958441312 is 213144859.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374437 + ... + 376987.

It is an arithmetic number, because the mean of its divisors is an integer number (40194000).

Almost surely, 2^958441312 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 958441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964656000).

958441312 is an abundant number, since it is smaller than the sum of its proper divisors (970870688).

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

958441312 is a wasteful number, since it uses less digits than its factorization.

958441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 958441312 is about 30958.7033320196. The cubic root of 958441312 is about 985.9506439697.

It can be divided in two parts, 958 and 441312, that added together give a triangular number (442270 = T₉₄₀).

The spelling of 958441312 in words is "nine hundred fifty-eight million, four hundred forty-one thousand, three hundred twelve".