424320400 has 90 divisors (see below), whose sum is σ = 1185922050. Its totient is φ = 145474560.

The previous prime is 424320383. The next prime is 424320401. The reversal of 424320400 is 4023424.

It can be written as a sum of positive squares in 3 ways, for example, as 14500864 + 409819536 = 3808^2 + 20244^2 .

It is not an unprimeable number, because it can be changed into a prime (424320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8776 + ... + 30424.

Almost surely, 2^424320400 is an apocalyptic number.

424320400 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 424320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592961025).

424320400 is an abundant number, since it is smaller than the sum of its proper divisors (761601650).

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

424320400 is a wasteful number, since it uses less digits than its factorization.

424320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21681 (or 21663 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 424320400 is about 20599.0388125272. The cubic root of 424320400 is about 751.4463349533.

Adding to 424320400 its reverse (4023424), we get a palindrome (428343824).

The spelling of 424320400 in words is "four hundred twenty-four million, three hundred twenty thousand, four hundred".