434389248 has 108 divisors (see below), whose sum is σ = 1318502640. Its totient is φ = 137161728.

The previous prime is 434389237. The next prime is 434389259. The reversal of 434389248 is 842983434.

It is an interprime number because it is at equal distance from previous prime (434389237) and next prime (434389259).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38815 + ... + 48737.

Almost surely, 2^434389248 is an apocalyptic number.

434389248 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 434389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659251320).

434389248 is an abundant number, since it is smaller than the sum of its proper divisors (884113392).

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

434389248 is a wasteful number, since it uses less digits than its factorization.

434389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964 (or 9947 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 434389248 is about 20842.0068131646. The cubic root of 434389248 is about 757.3437092189.

The spelling of 434389248 in words is "four hundred thirty-four million, three hundred eighty-nine thousand, two hundred forty-eight".