430032768 has 64 divisors (see below), whose sum is σ = 1246129920. Its totient is φ = 130311680.

The previous prime is 430032767. The next prime is 430032791. The reversal of 430032768 is 867230034.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×430032768³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430032761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46680 + ... + 55127.

It is an arithmetic number, because the mean of its divisors is an integer number (19470780).

Almost surely, 2^430032768 is an apocalyptic number.

430032768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

430032768 is an abundant number, since it is smaller than the sum of its proper divisors (816097152).

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

430032768 is a wasteful number, since it uses less digits than its factorization.

430032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101835 (or 101823 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 430032768 is about 20737.2314449157. The cubic root of 430032768 is about 754.8034036314.

The spelling of 430032768 in words is "four hundred thirty million, thirty-two thousand, seven hundred sixty-eight".