430525368 has 320 divisors, whose sum is σ = 1524600000. Its totient is φ = 112783104.

The previous prime is 430525253. The next prime is 430525393. The reversal of 430525368 is 863525034.

It is a happy number.

It is a super-3 number, since 3×430525368³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2889358 + ... + 2889506.

It is an arithmetic number, because the mean of its divisors is an integer number (4764375).

Almost surely, 2^430525368 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 430525368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762300000).

430525368 is an abundant number, since it is smaller than the sum of its proper divisors (1094074632).

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

430525368 is a wasteful number, since it uses less digits than its factorization.

430525368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 430525368 is about 20749.1052337203. The cubic root of 430525368 is about 755.0915012707.

The spelling of 430525368 in words is "four hundred thirty million, five hundred twenty-five thousand, three hundred sixty-eight".