430931968 has 32 divisors (see below), whose sum is σ = 861916320. Its totient is φ = 215449600.

The previous prime is 430931959. The next prime is 430932053. The reversal of 430931968 is 869139034.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×430931968² = 371404722088706048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26193 + ... + 39343.

It is an arithmetic number, because the mean of its divisors is an integer number (26934885).

Almost surely, 2^430931968 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 430931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430958160).

430931968 is an abundant number, since it is smaller than the sum of its proper divisors (430984352).

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

430931968 is an frugal number, since it uses more digits than its factorization.

430931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13181 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 430931968 is about 20758.9009342980. The cubic root of 430931968 is about 755.3291362048.

The spelling of 430931968 in words is "four hundred thirty million, nine hundred thirty-one thousand, nine hundred sixty-eight".