430901640 has 256 divisors, whose sum is σ = 1582156800. Its totient is φ = 103652352.

The previous prime is 430901623. The next prime is 430901651. The reversal of 430901640 is 46109034.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659554 + ... + 660206.

It is an arithmetic number, because the mean of its divisors is an integer number (6180300).

Almost surely, 2^430901640 is an apocalyptic number.

430901640 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 430901640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791078400).

430901640 is an abundant number, since it is smaller than the sum of its proper divisors (1151255160).

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

430901640 is a wasteful number, since it uses less digits than its factorization.

430901640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 430901640 is about 20758.1704396124. The cubic root of 430901640 is about 755.3114163471.

The spelling of 430901640 in words is "four hundred thirty million, nine hundred one thousand, six hundred forty".