421264 has 20 divisors (see below), whose sum is σ = 826956. Its totient is φ = 207872.

The previous prime is 421241. The next prime is 421273. The reversal of 421264 is 462124.

421264 = T₁₄₆ + T₁₄₇ + ... + T₁₇₇.

421264 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 384400 = 192^2 + 620^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1692 + ... + 1924.

2⁴²¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

421264 is a deficient number, since it is larger than the sum of its proper divisors (405692).

421264 is a wasteful number, since it uses less digits than its factorization.

421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 421264 is about 649.0485343948. The cubic root of 421264 is about 74.9637750988.

Adding to 421264 its reverse (462124), we get a palindrome (883388).

The spelling of 421264 in words is "four hundred twenty-one thousand, two hundred sixty-four".