523329408 has 288 divisors, whose sum is σ = 1789781760. Its totient is φ = 146313216.

The previous prime is 523329361. The next prime is 523329409. The reversal of 523329408 is 804923325.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523329409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4120641 + ... + 4120767.

It is an arithmetic number, because the mean of its divisors is an integer number (6214520).

Almost surely, 2^523329408 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 523329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894890880).

523329408 is an abundant number, since it is smaller than the sum of its proper divisors (1266452352).

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

523329408 is a wasteful number, since it uses less digits than its factorization.

523329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 523329408 is about 22876.3941214519. The cubic root of 523329408 is about 805.8577372897.

The spelling of 523329408 in words is "five hundred twenty-three million, three hundred twenty-nine thousand, four hundred eight".