430626768 has 160 divisors (see below), whose sum is σ = 1338247680. Its totient is φ = 117573120.

The previous prime is 430626761. The next prime is 430626787. The reversal of 430626768 is 867626034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430626761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294423 + ... + 295881.

It is an arithmetic number, because the mean of its divisors is an integer number (8364048).

Almost surely, 2^430626768 is an apocalyptic number.

430626768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430626768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669123840).

430626768 is an abundant number, since it is smaller than the sum of its proper divisors (907620912).

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

430626768 is a wasteful number, since it uses less digits than its factorization.

430626768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 430626768 is about 20751.5485687213. The cubic root of 430626768 is about 755.1507778923.

The spelling of 430626768 in words is "four hundred thirty million, six hundred twenty-six thousand, seven hundred sixty-eight".