434000448 has 126 divisors (see below), whose sum is σ = 1447177446. Its totient is φ = 123992064.

The previous prime is 434000431. The next prime is 434000449. The reversal of 434000448 is 844000434.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 28224 = 20832^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (434000449) 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 17 ways as a sum of consecutive naturals, for example, 20536 + ... + 35912.

Almost surely, 2^434000448 is an apocalyptic number.

434000448 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 434000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723588723).

434000448 is an abundant number, since it is smaller than the sum of its proper divisors (1013176998).

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

434000448 is a wasteful number, since it uses less digits than its factorization.

434000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 434000448 is about 20832.6774083410. The cubic root of 434000448 is about 757.1176883325.

The spelling of 434000448 in words is "four hundred thirty-four million, four hundred forty-eight", and thus it is an aban number.