430056625920 has 144 divisors (see below), whose sum is σ = 1382713264800. Its totient is φ = 113911939072.

The previous prime is 430056625909. The next prime is 430056625931. The reversal of 430056625920 is 29526650034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (430056625909) and next prime (430056625931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196342 + ... + 947978.

It is an arithmetic number, because the mean of its divisors is an integer number (9602175450).

Almost surely, 2^430056625920 is an apocalyptic number.

430056625920 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 430056625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691356632400).

430056625920 is an abundant number, since it is smaller than the sum of its proper divisors (952656638880).

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

430056625920 is a wasteful number, since it uses less digits than its factorization.

430056625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751810 (or 751796 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 430056625920 in words is "four hundred thirty billion, fifty-six million, six hundred twenty-five thousand, nine hundred twenty".