434976 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 137984.

The previous prime is 434963. The next prime is 434977. The reversal of 434976 is 679434.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2110 + ... + 2306.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁴³⁴⁹⁷⁶ is an apocalyptic number.

434976 is a gapful number since it is divisible by the number (46) 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 434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

434976 is an abundant number, since it is smaller than the sum of its proper divisors (762528).

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

434976 is a wasteful number, since it uses less digits than its factorization.

434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 434976 is about 659.5271033096. The cubic root of 434976 is about 75.7684550226.

It can be divided in two parts, 4 and 34976, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 434976 in words is "four hundred thirty-four thousand, nine hundred seventy-six".