958404096 has 160 divisors (see below), whose sum is σ = 3055741920. Its totient is φ = 294838272.

The previous prime is 958404077. The next prime is 958404131. The reversal of 958404096 is 690404859.

It is a happy number.

It is a super-2 number, since 2×958404096² = 1837076822459154432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 177046 + ... + 182378.

It is an arithmetic number, because the mean of its divisors is an integer number (19098387).

Almost surely, 2^958404096 is an apocalyptic number.

958404096 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 958404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527870960).

958404096 is an abundant number, since it is smaller than the sum of its proper divisors (2097337824).

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

958404096 is a wasteful number, since it uses less digits than its factorization.

958404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 958404096 is about 30958.1022674194. The cubic root of 958404096 is about 985.9378824114.

The spelling of 958404096 in words is "nine hundred fifty-eight million, four hundred four thousand, ninety-six".