434482272 has 288 divisors, whose sum is σ = 1536192000. Its totient is φ = 117013248.

The previous prime is 434482261. The next prime is 434482327. The reversal of 434482272 is 272284434.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183229 + ... + 2183427.

It is an arithmetic number, because the mean of its divisors is an integer number (5334000).

Almost surely, 2^434482272 is an apocalyptic number.

434482272 is a gapful number since it is divisible by the number (42) 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 434482272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

434482272 is an abundant number, since it is smaller than the sum of its proper divisors (1101709728).

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

434482272 is a wasteful number, since it uses less digits than its factorization.

434482272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 230 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 434482272 is about 20844.2383406063. The cubic root of 434482272 is about 757.3977668128.

The spelling of 434482272 in words is "four hundred thirty-four million, four hundred eighty-two thousand, two hundred seventy-two".