430368 has 24 divisors (see below), whose sum is σ = 1129968. Its totient is φ = 143424.

The previous prime is 430357. The next prime is 430393. The reversal of 430368 is 863034.

430368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2146 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (47082).

2⁴³⁰³⁶⁸ is an apocalyptic number.

430368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

430368 is an abundant number, since it is smaller than the sum of its proper divisors (699600).

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

430368 is a wasteful number, since it uses less digits than its factorization.

430368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 430368 is about 656.0243897905. The cubic root of 430368 is about 75.4999488326.

It can be divided in two parts, 4303 and 68, that added together give a triangular number (4371 = T₉₃).

The spelling of 430368 in words is "four hundred thirty thousand, three hundred sixty-eight".