430712640 has 336 divisors, whose sum is σ = 1597639680. Its totient is φ = 110315520.

The previous prime is 430712627. The next prime is 430712641. The reversal of 430712640 is 46217034.

430712640 is a `hidden beast` number, since 4 + 3 + 0 + 7 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430712641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254945 + ... + 2255135.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2^430712640 is an apocalyptic number.

430712640 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 430712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

430712640 is an abundant number, since it is smaller than the sum of its proper divisors (1166927040).

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

430712640 is a wasteful number, since it uses less digits than its factorization.

430712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 430712640 is about 20753.6175159898. The cubic root of 430712640 is about 755.2009698470.

Adding to 430712640 its reverse (46217034), we get a palindrome (476929674).

The spelling of 430712640 in words is "four hundred thirty million, seven hundred twelve thousand, six hundred forty".