430626560 has 144 divisors (see below), whose sum is σ = 1269863616. Its totient is φ = 136249344.

The previous prime is 430626557. The next prime is 430626569. The reversal of 430626560 is 65626034.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430626569) 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 15 ways as a sum of consecutive naturals, for example, 114632 + ... + 118328.

Almost surely, 2^430626560 is an apocalyptic number.

430626560 is a gapful number since it is divisible by the number (40) 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 430626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634931808).

430626560 is an abundant number, since it is smaller than the sum of its proper divisors (839237056).

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

430626560 is a wasteful number, since it uses less digits than its factorization.

430626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 430626560 is about 20751.5435570465. The cubic root of 430626560 is about 755.1506563087.

The spelling of 430626560 in words is "four hundred thirty million, six hundred twenty-six thousand, five hundred sixty".