434880 has 84 divisors (see below), whose sum is σ = 1505712. Its totient is φ = 115200.

The previous prime is 434873. The next prime is 434881. The reversal of 434880 is 88434.

434880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434880² = 378241228800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (434881) by changing a digit.

434880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805 + ... + 2955.

434880 is a Friedman number, since it can be written as (80-4)^3-8^4, using all its digits and the basic arithmetic operations.

2⁴³⁴⁸⁸⁰ is an apocalyptic number.

434880 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 434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752856).

434880 is an abundant number, since it is smaller than the sum of its proper divisors (1070832).

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

434880 is a wasteful number, since it uses less digits than its factorization.

434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 434880 is about 659.4543198736. The cubic root of 434880 is about 75.7628805336.

The spelling of 434880 in words is "four hundred thirty-four thousand, eight hundred eighty".