430973928 has 288 divisors, whose sum is σ = 1513774080. Its totient is φ = 108345600.

The previous prime is 430973927. The next prime is 430973929. The reversal of 430973928 is 829379034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (430973927) and next prime (430973929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430973923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2256313 + ... + 2256503.

It is an arithmetic number, because the mean of its divisors is an integer number (5256160).

Almost surely, 2^430973928 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 430973928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756887040).

430973928 is an abundant number, since it is smaller than the sum of its proper divisors (1082800152).

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

430973928 is a wasteful number, since it uses less digits than its factorization.

430973928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 430973928 is about 20759.9115605053. The cubic root of 430973928 is about 755.3536509653.

The spelling of 430973928 in words is "four hundred thirty million, nine hundred seventy-three thousand, nine hundred twenty-eight".