430142400 has 210 divisors, whose sum is σ = 1581571640. Its totient is φ = 114670080.

The previous prime is 430142399. The next prime is 430142407. The reversal of 430142400 is 4241034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430142407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127941 + ... + 131259.

Almost surely, 2^430142400 is an apocalyptic number.

430142400 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 430142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790785820).

430142400 is an abundant number, since it is smaller than the sum of its proper divisors (1151429240).

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

430142400 is a wasteful number, since it uses less digits than its factorization.

430142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 430142400 is about 20739.8746380011. The cubic root of 430142400 is about 754.8675410506.

Adding to 430142400 its reverse (4241034), we get a palindrome (434383434).

The spelling of 430142400 in words is "four hundred thirty million, one hundred forty-two thousand, four hundred".