430649856 has 360 divisors, whose sum is σ = 1557578880. Its totient is φ = 112140288.

The previous prime is 430649851. The next prime is 430649881. The reversal of 430649856 is 658946034.

It is not an unprimeable number, because it can be changed into a prime (430649851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5451225 + ... + 5451303.

It is an arithmetic number, because the mean of its divisors is an integer number (4326608).

Almost surely, 2^430649856 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 430649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778789440).

430649856 is an abundant number, since it is smaller than the sum of its proper divisors (1126929024).

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

430649856 is a wasteful number, since it uses less digits than its factorization.

430649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 430649856 is about 20752.1048570982. The cubic root of 430649856 is about 755.1642734224.

The spelling of 430649856 in words is "four hundred thirty million, six hundred forty-nine thousand, eight hundred fifty-six".