523464480 has 288 divisors, whose sum is σ = 2227575168. Its totient is φ = 108748800.

The previous prime is 523464479. The next prime is 523464541. The reversal of 523464480 is 84464325.

523464480 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 644 + 8 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108520 + ... + 113240.

It is an arithmetic number, because the mean of its divisors is an integer number (7734636).

Almost surely, 2^523464480 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 523464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113787584).

523464480 is an abundant number, since it is smaller than the sum of its proper divisors (1704110688).

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

523464480 is a wasteful number, since it uses less digits than its factorization.

523464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 523464480 is about 22879.3461445033. The cubic root of 523464480 is about 805.9270623020.

The spelling of 523464480 in words is "five hundred twenty-three million, four hundred sixty-four thousand, four hundred eighty".