434383488 has 384 divisors, whose sum is σ = 1603929600. Its totient is φ = 109578240.

The previous prime is 434383483. The next prime is 434383493. The reversal of 434383488 is 884383434.

It is an interprime number because it is at equal distance from previous prime (434383483) and next prime (434383493).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×434383488² = 377378029294092288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (434383483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5233495 + ... + 5233577.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^434383488 is an apocalyptic number.

434383488 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 434383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

434383488 is an abundant number, since it is smaller than the sum of its proper divisors (1169546112).

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

434383488 is a wasteful number, since it uses less digits than its factorization.

434383488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 434383488 is about 20841.8686302356. The cubic root of 434383488 is about 757.3403617457.

The spelling of 434383488 in words is "four hundred thirty-four million, three hundred eighty-three thousand, four hundred eighty-eight".