430286640 has 160 divisors (see below), whose sum is σ = 1555852800. Its totient is φ = 98332416.

The previous prime is 430286629. The next prime is 430286641. The reversal of 430286640 is 46682034.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (430286641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79707 + ... + 84933.

It is an arithmetic number, because the mean of its divisors is an integer number (9724080).

Almost surely, 2^430286640 is an apocalyptic number.

430286640 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 430286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777926400).

430286640 is an abundant number, since it is smaller than the sum of its proper divisors (1125566160).

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

430286640 is a wasteful number, since it uses less digits than its factorization.

430286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 430286640 is about 20743.3517060286. The cubic root of 430286640 is about 754.9519084026.

The spelling of 430286640 in words is "four hundred thirty million, two hundred eighty-six thousand, six hundred forty".