430496640 has 256 divisors, whose sum is σ = 1742976000. Its totient is φ = 98371584.

The previous prime is 430496639. The next prime is 430496653. The reversal of 430496640 is 46694034.

430496640 is a `hidden beast` number, since 4 + 3 + 0 + 4 + 9 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430496595 and 430496604.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 119181 + ... + 122739.

It is an arithmetic number, because the mean of its divisors is an integer number (6808500).

Almost surely, 2^430496640 is an apocalyptic number.

430496640 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 430496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871488000).

430496640 is an abundant number, since it is smaller than the sum of its proper divisors (1312479360).

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

430496640 is a wasteful number, since it uses less digits than its factorization.

430496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 430496640 is about 20748.4129513561. The cubic root of 430496640 is about 755.0747057052.

The spelling of 430496640 in words is "four hundred thirty million, four hundred ninety-six thousand, six hundred forty".