434285280 has 768 divisors, whose sum is σ = 1930521600. Its totient is φ = 89579520.

The previous prime is 434285279. The next prime is 434285297. The reversal of 434285280 is 82582434.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11737422 + ... + 11737458.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2^434285280 is an apocalyptic number.

434285280 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 434285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

434285280 is an abundant number, since it is smaller than the sum of its proper divisors (1496236320).

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

434285280 is a wasteful number, since it uses less digits than its factorization.

434285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 434285280 is about 20839.5124703051. The cubic root of 434285280 is about 757.2832827742.

The spelling of 434285280 in words is "four hundred thirty-four million, two hundred eighty-five thousand, two hundred eighty".