434249984 has 72 divisors (see below), whose sum is σ = 1022719488. Its totient is φ = 180080640.

The previous prime is 434249969. The next prime is 434249999. The reversal of 434249984 is 489942434.

It is an interprime number because it is at equal distance from previous prime (434249969) and next prime (434249999).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51644 + ... + 59460.

Almost surely, 2^434249984 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 434249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511359744).

434249984 is an abundant number, since it is smaller than the sum of its proper divisors (588469504).

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

434249984 is an equidigital number, since it uses as much as digits as its factorization.

434249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7857 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 434249984 is about 20838.6656002730. The cubic root of 434249984 is about 757.2627664638.

It can be divided in two parts, 434 and 249984, that multiplied together give a square (108493056 = 10416²).

The spelling of 434249984 in words is "four hundred thirty-four million, two hundred forty-nine thousand, nine hundred eighty-four".