403520 has 56 divisors (see below), whose sum is σ = 1045464. Its totient is φ = 147456.

The previous prime is 403511. The next prime is 403537. The reversal of 403520 is 25304.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 399424 = 64^2 + 632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 403495 and 403504.

It is a congruent number.

It is an unprimeable number.

403520 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 7 ways as a sum of consecutive naturals, for example, 4112 + ... + 4208.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2⁴⁰³⁵²⁰ is an apocalyptic number.

403520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522732).

403520 is an abundant number, since it is smaller than the sum of its proper divisors (641944).

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

403520 is a wasteful number, since it uses less digits than its factorization.

403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 403520 is about 635.2322409954. The cubic root of 403520 is about 73.8961289212.

Adding to 403520 its reverse (25304), we get a palindrome (428824).

The spelling of 403520 in words is "four hundred three thousand, five hundred twenty".