430803228240 has 640 divisors, whose sum is σ = 1856092631040. Its totient is φ = 89224243200.

The previous prime is 430803228227. The next prime is 430803228269. The reversal of 430803228240 is 42822308034.

It is a happy number.

430803228240 is a `hidden beast` number, since 4 + 308 + 0 + 32 + 282 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430803228195 and 430803228204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52719355 + ... + 52727525.

It is an arithmetic number, because the mean of its divisors is an integer number (2900144736).

Almost surely, 2^430803228240 is an apocalyptic number.

430803228240 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 430803228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928046315520).

430803228240 is an abundant number, since it is smaller than the sum of its proper divisors (1425289402800).

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

430803228240 is a wasteful number, since it uses less digits than its factorization.

430803228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 430803228240 in words is "four hundred thirty billion, eight hundred three million, two hundred twenty-eight thousand, two hundred forty".