958400 has 42 divisors (see below), whose sum is σ = 2362200. Its totient is φ = 382720.

The previous prime is 958393. The next prime is 958423. The reversal of 958400 is 4859.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 958400.

It is a congruent number.

It is an unprimeable number.

958400 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1301 + ... + 1899.

2⁹⁵⁸⁴⁰⁰ 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 958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181100).

958400 is an abundant number, since it is smaller than the sum of its proper divisors (1403800).

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

958400 is a wasteful number, since it uses less digits than its factorization.

958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 958400 is about 978.9790600416. The cubic root of 958400 is about 98.5936477852.

The spelling of 958400 in words is "nine hundred fifty-eight thousand, four hundred".