423959120 has 80 divisors (see below), whose sum is σ = 1098210960. Its totient is φ = 151130112.

The previous prime is 423959117. The next prime is 423959153. The reversal of 423959120 is 21959324.

It can be written as a sum of positive squares in 8 ways, for example, as 118548544 + 305410576 = 10888^2 + 17476^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23132 + ... + 37188.

It is an arithmetic number, because the mean of its divisors is an integer number (13727637).

Almost surely, 2^423959120 is an apocalyptic number.

423959120 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 423959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549105480).

423959120 is an abundant number, since it is smaller than the sum of its proper divisors (674251840).

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

423959120 is a wasteful number, since it uses less digits than its factorization.

423959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 423959120 is about 20590.2676038948. The cubic root of 423959120 is about 751.2330058919.

It can be divided in two parts, 42395 and 9120, that added together give a palindrome (51515).

The spelling of 423959120 in words is "four hundred twenty-three million, nine hundred fifty-nine thousand, one hundred twenty".