421104400 has 90 divisors (see below), whose sum is σ = 1041137790. Its totient is φ = 163676160.

The previous prime is 421104379. The next prime is 421104407. The reversal of 421104400 is 4401124.

It can be written as a sum of positive squares in 9 ways, for example, as 7551504 + 413552896 = 2748^2 + 20336^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (421104407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 547216 + ... + 547984.

Almost surely, 2^421104400 is an apocalyptic number.

421104400 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 421104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520568895).

421104400 is an abundant number, since it is smaller than the sum of its proper divisors (620033390).

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

421104400 is a wasteful number, since it uses less digits than its factorization.

421104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 421104400 is about 20520.8284433158. The cubic root of 421104400 is about 749.5430698244.

Adding to 421104400 its reverse (4401124), we get a palindrome (425505524).

The spelling of 421104400 in words is "four hundred twenty-one million, one hundred four thousand, four hundred".