430378473096 has 576 divisors, whose sum is σ = 1490956632000. Its totient is φ = 114011089920.

The previous prime is 430378473071. The next prime is 430378473127. The reversal of 430378473096 is 690374873034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144955900 + ... + 144958868.

It is an arithmetic number, because the mean of its divisors is an integer number (2588466375).

Almost surely, 2^430378473096 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 430378473096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745478316000).

430378473096 is an abundant number, since it is smaller than the sum of its proper divisors (1060578158904).

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

430378473096 is a wasteful number, since it uses less digits than its factorization.

430378473096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 430378473096 in words is "four hundred thirty billion, three hundred seventy-eight million, four hundred seventy-three thousand, ninety-six".