430448040 has 256 divisors, whose sum is σ = 1648512000. Its totient is φ = 98807040.

The previous prime is 430448009. The next prime is 430448089. The reversal of 430448040 is 40844034.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 430447995 and 430448013.

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 63 ways as a sum of consecutive naturals, for example, 224767 + ... + 226673.

It is an arithmetic number, because the mean of its divisors is an integer number (6439500).

Almost surely, 2^430448040 is an apocalyptic number.

430448040 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 430448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824256000).

430448040 is an abundant number, since it is smaller than the sum of its proper divisors (1218063960).

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

430448040 is a wasteful number, since it uses less digits than its factorization.

430448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 430448040 is about 20747.2417443862. The cubic root of 430448040 is about 755.0462904530.

The spelling of 430448040 in words is "four hundred thirty million, four hundred forty-eight thousand, forty".