953408 has 14 divisors (see below), whose sum is σ = 1892046. Its totient is φ = 476672.

The previous prime is 953399. The next prime is 953431. The reversal of 953408 is 804359.

It can be written as a sum of positive squares in only one way, i.e., 937024 + 16384 = 968^2 + 128^2 .

It is an unprimeable number.

953408 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7385 + ... + 7512.

2⁹⁵³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

953408 is a deficient number, since it is larger than the sum of its proper divisors (938638).

953408 is a wasteful number, since it uses less digits than its factorization.

953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 953408 is about 976.4261364794. The cubic root of 953408 is about 98.4221687554.

The spelling of 953408 in words is "nine hundred fifty-three thousand, four hundred eight".