430407338172 has 216 divisors, whose sum is σ = 1242590550768. Its totient is φ = 115592601600.

The previous prime is 430407338159. The next prime is 430407338201. The reversal of 430407338172 is 271833704034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231276522 + ... + 231278382.

Almost surely, 2^430407338172 is an apocalyptic number.

430407338172 is a gapful number since it is divisible by the number (42) 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 430407338172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621295275384).

430407338172 is an abundant number, since it is smaller than the sum of its proper divisors (812183212596).

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

430407338172 is a wasteful number, since it uses less digits than its factorization.

430407338172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 430407338172 in words is "four hundred thirty billion, four hundred seven million, three hundred thirty-eight thousand, one hundred seventy-two".