430857943904 has 96 divisors (see below), whose sum is σ = 871763860800. Its totient is φ = 209536284672.

The previous prime is 430857943843. The next prime is 430857943931. The reversal of 430857943904 is 409349758034.

It is a super-2 number, since 2×430857943904² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 430857943904.

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, 98886494 + ... + 98890850.

It is an arithmetic number, because the mean of its divisors is an integer number (9080873550).

Almost surely, 2^430857943904 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 430857943904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435881930400).

430857943904 is an abundant number, since it is smaller than the sum of its proper divisors (440905916896).

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

430857943904 is a wasteful number, since it uses less digits than its factorization.

430857943904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 430857943904 in words is "four hundred thirty billion, eight hundred fifty-seven million, nine hundred forty-three thousand, nine hundred four".