434279328 has 96 divisors (see below), whose sum is σ = 1306497024. Its totient is φ = 123731712.

The previous prime is 434279303. The next prime is 434279347. The reversal of 434279328 is 823972434.

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

It is a super-3 number, since 3×434279328³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 434279328.

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 15 ways as a sum of consecutive naturals, for example, 326601 + ... + 327927.

It is an arithmetic number, because the mean of its divisors is an integer number (13609344).

Almost surely, 2^434279328 is an apocalyptic number.

434279328 is a gapful number since it is divisible by the number (48) 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 434279328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653248512).

434279328 is an abundant number, since it is smaller than the sum of its proper divisors (872217696).

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

434279328 is a wasteful number, since it uses less digits than its factorization.

434279328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 434279328 is about 20839.3696641717. The cubic root of 434279328 is about 757.2798231661.

The spelling of 434279328 in words is "four hundred thirty-four million, two hundred seventy-nine thousand, three hundred twenty-eight".