430401600 has 378 divisors, whose sum is σ = 1627248714. Its totient is φ = 111974400.

The previous prime is 430401583. The next prime is 430401611. The reversal of 430401600 is 6104034.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 429981696 = 648^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497580 + ... + 10497620.

Almost surely, 2^430401600 is an apocalyptic number.

430401600 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 430401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813624357).

430401600 is an abundant number, since it is smaller than the sum of its proper divisors (1196847114).

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

430401600 is an frugal number, since it uses more digits than its factorization.

430401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430401600 is about 20746.1225292824. The cubic root of 430401600 is about 755.0191361026.

Adding to 430401600 its reverse (6104034), we get a palindrome (436505634).

The spelling of 430401600 in words is "four hundred thirty million, four hundred one thousand, six hundred".