403264 has 14 divisors (see below), whose sum is σ = 800354. Its totient is φ = 201600.

The previous prime is 403261. The next prime is 403267. The reversal of 403264 is 462304.

403264 = T₅₁₇ + T₅₁₈ + T₅₁₉.

It is an interprime number because it is at equal distance from previous prime (403261) and next prime (403267).

It can be written as a sum of positive squares in only one way, i.e., 360000 + 43264 = 600^2 + 208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403261) by changing a digit.

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, 3087 + ... + 3214.

2⁴⁰³²⁶⁴ is an apocalyptic number.

403264 is the 519-th centered triangular number.

It is an amenable number.

403264 is a deficient number, since it is larger than the sum of its proper divisors (397090).

403264 is an equidigital number, since it uses as much as digits as its factorization.

403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 403264 is about 635.0307079189. The cubic root of 403264 is about 73.8804986254.

Adding to 403264 its reverse (462304), we get a palindrome (865568).

It can be divided in two parts, 4032 and 64, that added together give a 12-th power (4096 = 2¹²).

The spelling of 403264 in words is "four hundred three thousand, two hundred sixty-four".