434880672 has 96 divisors (see below), whose sum is σ = 1237021632. Its totient is φ = 133238784.

The previous prime is 434880623. The next prime is 434880673. The reversal of 434880672 is 276088434.

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

It is not an unprimeable number, because it can be changed into a prime (434880673) by changing a digit.

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, 67078 + ... + 73274.

It is an arithmetic number, because the mean of its divisors is an integer number (12885642).

Almost surely, 2^434880672 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 434880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618510816).

434880672 is an abundant number, since it is smaller than the sum of its proper divisors (802140960).

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

434880672 is a wasteful number, since it uses less digits than its factorization.

434880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 434880672 is about 20853.7927485626. The cubic root of 434880672 is about 757.6291955786.

The spelling of 434880672 in words is "four hundred thirty-four million, eight hundred eighty thousand, six hundred seventy-two".