523920384 has 132 divisors (see below), whose sum is σ = 1629551196. Its totient is φ = 161169408.

The previous prime is 523920373. The next prime is 523920391. The reversal of 523920384 is 483029325.

It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 343286784 = 13440^2 + 18528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117622 + ... + 121994.

Almost surely, 2^523920384 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 523920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814775598).

523920384 is an abundant number, since it is smaller than the sum of its proper divisors (1105630812).

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

523920384 is a wasteful number, since it uses less digits than its factorization.

523920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4391 counting only the distinct ones).

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

The square root of 523920384 is about 22889.3071979036. The cubic root of 523920384 is about 806.1609646768.

The spelling of 523920384 in words is "five hundred twenty-three million, nine hundred twenty thousand, three hundred eighty-four".