958464 has 84 divisors (see below), whose sum is σ = 2981706. Its totient is φ = 294912.

The previous prime is 958459. The next prime is 958481. The reversal of 958464 is 464859.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 36864 = 960^2 + 192^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 4 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 958464.

It is an unprimeable number.

958464 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73722 + ... + 73734.

958464 is a Friedman number, since it can be written as 9*8^4*(6+5*4), using all its digits and the basic arithmetic operations.

2⁹⁵⁸⁴⁶⁴ 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 958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490853).

958464 is an abundant number, since it is smaller than the sum of its proper divisors (2023242).

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

958464 is a wasteful number, since it uses less digits than its factorization.

958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 958464 is about 979.0117466098. The cubic root of 958464 is about 98.5958423640.

The spelling of 958464 in words is "nine hundred fifty-eight thousand, four hundred sixty-four".