421344400 has 30 divisors (see below), whose sum is σ = 1012280882. Its totient is φ = 168537600.

The previous prime is 421344389. The next prime is 421344409. The reversal of 421344400 is 4443124.

It can be written as a sum of positive squares in 3 ways, for example, as 68956416 + 352387984 = 8304^2 + 18772^2 .

It is a super-2 number, since 2×421344400² = 355062206822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (421344409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 526281 + ... + 527080.

Almost surely, 2^421344400 is an apocalyptic number.

421344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421344400 is an abundant number, since it is smaller than the sum of its proper divisors (590936482).

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

421344400 is a wasteful number, since it uses less digits than its factorization.

421344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053379 (or 1053368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 421344400 is about 20526.6753274855. The cubic root of 421344400 is about 749.6854384569.

Adding to 421344400 its reverse (4443124), we get a palindrome (425787524).

It can be divided in two parts, 4 and 21344400, that multiplied together give a square (85377600 = 9240²).

The spelling of 421344400 in words is "four hundred twenty-one million, three hundred forty-four thousand, four hundred".