430830048 has 192 divisors, whose sum is σ = 1324657152. Its totient is φ = 121159680.

The previous prime is 430830047. The next prime is 430830067. The reversal of 430830048 is 840038034.

It is a super-2 number, since 2×430830048² = 371229060519364608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430829997 and 430830024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430830041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848940 + ... + 1849172.

It is an arithmetic number, because the mean of its divisors is an integer number (6899256).

Almost surely, 2^430830048 is an apocalyptic number.

430830048 is a gapful number since it is divisible by the number (48) 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 430830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662328576).

430830048 is an abundant number, since it is smaller than the sum of its proper divisors (893827104).

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

430830048 is a wasteful number, since it uses less digits than its factorization.

430830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 430830048 is about 20756.4459385512. The cubic root of 430830048 is about 755.2695837146.

The spelling of 430830048 in words is "four hundred thirty million, eight hundred thirty thousand, forty-eight".