434961920 has 80 divisors (see below), whose sum is σ = 1051660368. Its totient is φ = 172523520.

The previous prime is 434961911. The next prime is 434961929. The reversal of 434961920 is 29169434.

It is an interprime number because it is at equal distance from previous prime (434961911) and next prime (434961929).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434961929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334712 + ... + 336008.

Almost surely, 2^434961920 is an apocalyptic number.

434961920 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 434961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525830184).

434961920 is an abundant number, since it is smaller than the sum of its proper divisors (616698448).

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

434961920 is a wasteful number, since it uses less digits than its factorization.

434961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 434961920 is about 20855.7406965085. The cubic root of 434961920 is about 757.6763748225.

The spelling of 434961920 in words is "four hundred thirty-four million, nine hundred sixty-one thousand, nine hundred twenty".