403312 has 40 divisors (see below), whose sum is σ = 965216. Its totient is φ = 158976.

The previous prime is 403309. The next prime is 403327. The reversal of 403312 is 213304.

403312 = T₂₃₃ + T₂₃₄ + ... + T₂₄₆.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 403292 and 403301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 1594.

2⁴⁰³³¹² 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 403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482608).

403312 is an abundant number, since it is smaller than the sum of its proper divisors (561904).

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

403312 is a wasteful number, since it uses less digits than its factorization.

403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 403312 is about 635.0685002423. The cubic root of 403312 is about 73.8834298096.

Adding to 403312 its reverse (213304), we get a palindrome (616616).

The spelling of 403312 in words is "four hundred three thousand, three hundred twelve", and thus it is an iban number.