424200432 has 80 divisors (see below), whose sum is σ = 1127427840. Its totient is φ = 137356800.

The previous prime is 424200407. The next prime is 424200437. The reversal of 424200432 is 234002424.

It is a junction number, because it is equal to n+sod(n) for n = 424200399 and 424200408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424200437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863707 + ... + 864197.

It is an arithmetic number, because the mean of its divisors is an integer number (14092848).

Almost surely, 2^424200432 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 424200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563713920).

424200432 is an abundant number, since it is smaller than the sum of its proper divisors (703227408).

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

424200432 is a wasteful number, since it uses less digits than its factorization.

424200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 424200432 is about 20596.1266261402. The cubic root of 424200432 is about 751.3755095336.

Adding to 424200432 its reverse (234002424), we get a palindrome (658202856).

The spelling of 424200432 in words is "four hundred twenty-four million, two hundred thousand, four hundred thirty-two".