424403300 has 72 divisors (see below), whose sum is σ = 999076680. Its totient is φ = 155852800.

The previous prime is 424403293. The next prime is 424403321. The reversal of 424403300 is 3304424.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 224520256 + 199883044 = 14984^2 + 14138^2 .

It is a super-2 number, since 2×424403300² = 360236322101780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66656 + ... + 72744.

It is an arithmetic number, because the mean of its divisors is an integer number (13876065).

Almost surely, 2^424403300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499538340).

424403300 is an abundant number, since it is smaller than the sum of its proper divisors (574673380).

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

424403300 is a wasteful number, since it uses less digits than its factorization.

424403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 424403300 is about 20601.0509440659. The cubic root of 424403300 is about 751.4952687658.

Adding to 424403300 its reverse (3304424), we get a palindrome (427707724).

The spelling of 424403300 in words is "four hundred twenty-four million, four hundred three thousand, three hundred".