957408 has 24 divisors (see below), whose sum is σ = 2513448. Its totient is φ = 319104.

The previous prime is 957403. The next prime is 957409. The reversal of 957408 is 804759.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957403) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4891 + ... + 5082.

It is an arithmetic number, because the mean of its divisors is an integer number (104727).

2⁹⁵⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

957408 is an abundant number, since it is smaller than the sum of its proper divisors (1556040).

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

957408 is a wasteful number, since it uses less digits than its factorization.

957408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 957408 is about 978.4722786058. The cubic root of 957408 is about 98.5596193132.

It can be divided in two parts, 95 and 7408, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 957408 in words is "nine hundred fifty-seven thousand, four hundred eight".