430478160 has 320 divisors, whose sum is σ = 1602754560. Its totient is φ = 93542400.

The previous prime is 430478129. The next prime is 430478171. The reversal of 430478160 is 61874034.

It is a super-2 number, since 2×430478160² = 370622892473971200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4262110 + ... + 4262210.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2^430478160 is an apocalyptic number.

430478160 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 430478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801377280).

430478160 is an abundant number, since it is smaller than the sum of its proper divisors (1172276400).

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

430478160 is a wasteful number, since it uses less digits than its factorization.

430478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 430478160 is about 20747.9676113108. The cubic root of 430478160 is about 755.0639011452.

The spelling of 430478160 in words is "four hundred thirty million, four hundred seventy-eight thousand, one hundred sixty".