430242400 has 72 divisors (see below), whose sum is σ = 1200391920. Its totient is φ = 147509760.

The previous prime is 430242367. The next prime is 430242419. The reversal of 430242400 is 4242034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32815 + ... + 44014.

It is an arithmetic number, because the mean of its divisors is an integer number (16672110).

Almost surely, 2^430242400 is an apocalyptic number.

430242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430242400 is an abundant number, since it is smaller than the sum of its proper divisors (770149520).

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

430242400 is a wasteful number, since it uses less digits than its factorization.

430242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76856 (or 76843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 430242400 is about 20742.2853128579. The cubic root of 430242400 is about 754.9260340094.

Adding to 430242400 its reverse (4242034), we get a palindrome (434484434).

The spelling of 430242400 in words is "four hundred thirty million, two hundred forty-two thousand, four hundred".