423144400 has 90 divisors (see below), whose sum is σ = 1182635430. Its totient is φ = 145071360.

The previous prime is 423144353. The next prime is 423144419. The reversal of 423144400 is 4441324.

It can be written as a sum of positive squares in 3 ways, for example, as 23464336 + 399680064 = 4844^2 + 19992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8806 + ... + 30394.

Almost surely, 2^423144400 is an apocalyptic number.

423144400 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 423144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591317715).

423144400 is an abundant number, since it is smaller than the sum of its proper divisors (759491030).

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

423144400 is a wasteful number, since it uses less digits than its factorization.

423144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21621 (or 21603 counting only the distinct ones).

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

The square root of 423144400 is about 20570.4739857885. The cubic root of 423144400 is about 750.7514838150.

Adding to 423144400 its reverse (4441324), we get a palindrome (427585724).

The spelling of 423144400 in words is "four hundred twenty-three million, one hundred forty-four thousand, four hundred".