430248820820 has 384 divisors, whose sum is σ = 1233125376000. Its totient is φ = 124823462400.

The previous prime is 430248820817. The next prime is 430248820831. The reversal of 430248820820 is 28028842034.

It is a super-2 number, since 2×430248820820² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 52522925 + ... + 52531115.

It is an arithmetic number, because the mean of its divisors is an integer number (3211264000).

Almost surely, 2^430248820820 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 430248820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616562688000).

430248820820 is an abundant number, since it is smaller than the sum of its proper divisors (802876555180).

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

430248820820 is a wasteful number, since it uses less digits than its factorization.

430248820820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 430248820820 in words is "four hundred thirty billion, two hundred forty-eight million, eight hundred twenty thousand, eight hundred twenty".