424400 has 30 divisors (see below), whose sum is σ = 1020582. Its totient is φ = 169600.

The previous prime is 424397. The next prime is 424423. The reversal of 424400 is 4424.

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 379456 = 212^2 + 616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 930.

2⁴²⁴⁴⁰⁰ is an apocalyptic number.

424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424400 is an abundant number, since it is smaller than the sum of its proper divisors (596182).

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

424400 is a wasteful number, since it uses less digits than its factorization.

424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 424400 is about 651.4598989961. The cubic root of 424400 is about 75.1493320979.

Adding to 424400 its reverse (4424), we get a palindrome (428824).

The spelling of 424400 in words is "four hundred twenty-four thousand, four hundred", and thus it is an iban number.