958438656 has 432 divisors, whose sum is σ = 3428425728. Its totient is φ = 261273600.

The previous prime is 958438651. The next prime is 958438669. The reversal of 958438656 is 656834859.

It is a happy number.

958438656 is a `hidden beast` number, since 9 + 584 + 3 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958438651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13499101 + ... + 13499171.

Almost surely, 2^958438656 is an apocalyptic number.

958438656 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 958438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864).

958438656 is an abundant number, since it is smaller than the sum of its proper divisors (2469987072).

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

958438656 is an equidigital number, since it uses as much as digits as its factorization.

958438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 958438656 is about 30958.6604361364. The cubic root of 958438656 is about 985.9497332246.

The spelling of 958438656 in words is "nine hundred fifty-eight million, four hundred thirty-eight thousand, six hundred fifty-six".