500430400 has 84 divisors (see below), whose sum is σ = 1237178628. Its totient is φ = 199229440.

The previous prime is 500430391. The next prime is 500430401. The reversal of 500430400 is 4034005.

It can be written as a sum of positive squares in 6 ways, for example, as 5456896 + 494973504 = 2336^2 + 22248^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500430401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410592 + ... + 411808.

It is an arithmetic number, because the mean of its divisors is an integer number (14728317).

Almost surely, 2^500430400 is an apocalyptic number.

500430400 is a gapful number since it is divisible by the number (50) 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 500430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618589314).

500430400 is an abundant number, since it is smaller than the sum of its proper divisors (736748228).

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

500430400 is a wasteful number, since it uses less digits than its factorization.

500430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 500430400 is about 22370.3017413713. The cubic root of 500430400 is about 793.9281998070.

Adding to 500430400 its reverse (4034005), we get a palindrome (504464405).

The spelling of 500430400 in words is "five hundred million, four hundred thirty thousand, four hundred".