430257696 has 96 divisors (see below), whose sum is σ = 1238582016. Its totient is φ = 129696000.

The previous prime is 430257691. The next prime is 430257713. The reversal of 430257696 is 696752034.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (430257691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221851 + ... + 223781.

It is an arithmetic number, because the mean of its divisors is an integer number (12901896).

Almost surely, 2^430257696 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 430257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619291008).

430257696 is an abundant number, since it is smaller than the sum of its proper divisors (808324320).

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

430257696 is a wasteful number, since it uses less digits than its factorization.

430257696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 430257696 is about 20742.6540249795. The cubic root of 430257696 is about 754.9349802932.

It can be divided in two parts, 43025 and 7696, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 430257696 in words is "four hundred thirty million, two hundred fifty-seven thousand, six hundred ninety-six".