521754480 has 320 divisors, whose sum is σ = 2051118720. Its totient is φ = 120766464.

The previous prime is 521754451. The next prime is 521754511. The reversal of 521754480 is 84457125.

521754480 is a `hidden beast` number, since 5 + 2 + 175 + 4 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476814 + ... + 477906.

It is an arithmetic number, because the mean of its divisors is an integer number (6409746).

Almost surely, 2^521754480 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 521754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025559360).

521754480 is an abundant number, since it is smaller than the sum of its proper divisors (1529364240).

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

521754480 is a wasteful number, since it uses less digits than its factorization.

521754480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 521754480 is about 22841.9456264128. The cubic root of 521754480 is about 805.0485317242.

The spelling of 521754480 in words is "five hundred twenty-one million, seven hundred fifty-four thousand, four hundred eighty".