434216280 has 128 divisors (see below), whose sum is σ = 1348358400. Its totient is φ = 111800832.

The previous prime is 434216249. The next prime is 434216309. The reversal of 434216280 is 82612434.

It is a super-3 number, since 3×434216280³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425611 + ... + 426629.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 2^434216280 is an apocalyptic number.

434216280 is a gapful number since it is divisible by the number (40) 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 434216280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674179200).

434216280 is an abundant number, since it is smaller than the sum of its proper divisors (914142120).

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

434216280 is a wasteful number, since it uses less digits than its factorization.

434216280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 434216280 is about 20837.8568955639. The cubic root of 434216280 is about 757.2431744887.

The spelling of 434216280 in words is "four hundred thirty-four million, two hundred sixteen thousand, two hundred eighty".