430976 has 64 divisors (see below), whose sum is σ = 1085280. Its totient is φ = 165888.

The previous prime is 430957. The next prime is 430979. The reversal of 430976 is 679034.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430979) by changing a digit.

430976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11630 + ... + 11666.

2⁴³⁰⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542640).

430976 is an abundant number, since it is smaller than the sum of its proper divisors (654304).

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

430976 is a wasteful number, since it uses less digits than its factorization.

430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 430976 is about 656.4876236457. The cubic root of 430976 is about 75.5354861472.

It can be divided in two parts, 4 and 30976, that multiplied together give a square (123904 = 352²).

The spelling of 430976 in words is "four hundred thirty thousand, nine hundred seventy-six".