521456480 has 48 divisors (see below), whose sum is σ = 1244678400. Its totient is φ = 206426112.

The previous prime is 521456479. The next prime is 521456489. The reversal of 521456480 is 84654125.

It is a self number, because there is not a number n which added to its sum of digits gives 521456480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521456489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (25930800).

Almost surely, 2^521456480 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 521456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622339200).

521456480 is an abundant number, since it is smaller than the sum of its proper divisors (723221920).

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

521456480 is a wasteful number, since it uses less digits than its factorization.

521456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33711 (or 33703 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 521456480 is about 22835.4216076691. The cubic root of 521456480 is about 804.8952347490.

The spelling of 521456480 in words is "five hundred twenty-one million, four hundred fifty-six thousand, four hundred eighty".