430155048960 has 1920 divisors, whose sum is σ = 1957879123200. Its totient is φ = 87907368960.

The previous prime is 430155048881. The next prime is 430155048971. The reversal of 430155048960 is 69840551034.

430155048960 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 5 + 504 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×430155048960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3094640571 + ... + 3094640709.

It is an arithmetic number, because the mean of its divisors is an integer number (1019728710).

Almost surely, 2^430155048960 is an apocalyptic number.

430155048960 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 430155048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978939561600).

430155048960 is an abundant number, since it is smaller than the sum of its proper divisors (1527724074240).

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

430155048960 is a wasteful number, since it uses less digits than its factorization.

430155048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 430155048960 its reverse (69840551034), we get a palindrome (499995599994).

The spelling of 430155048960 in words is "four hundred thirty billion, one hundred fifty-five million, forty-eight thousand, nine hundred sixty".