434772 has 36 divisors (see below), whose sum is σ = 1184820. Its totient is φ = 133632.

The previous prime is 434761. The next prime is 434783. The reversal of 434772 is 277434.

It is an interprime number because it is at equal distance from previous prime (434761) and next prime (434783).

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 404496 = 174^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

434772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 932.

2⁴³⁴⁷⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592410).

434772 is an abundant number, since it is smaller than the sum of its proper divisors (750048).

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

434772 is a wasteful number, since it uses less digits than its factorization.

434772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 434772 is about 659.3724289049. The cubic root of 434772 is about 75.7566082527.

The spelling of 434772 in words is "four hundred thirty-four thousand, seven hundred seventy-two".