481578624 has 96 divisors (see below), whose sum is σ = 1390708800. Its totient is φ = 159957504.

The previous prime is 481578619. The next prime is 481578637. The reversal of 481578624 is 426875184.

481578624 is a `hidden beast` number, since 4 + 8 + 15 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 481578624.

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, 436057 + ... + 437159.

It is an arithmetic number, because the mean of its divisors is an integer number (14486550).

Almost surely, 2^481578624 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 481578624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695354400).

481578624 is an abundant number, since it is smaller than the sum of its proper divisors (909130176).

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

481578624 is a wasteful number, since it uses less digits than its factorization.

481578624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 481578624 is about 21944.8997263601. The cubic root of 481578624 is about 783.8309367511.

The spelling of 481578624 in words is "four hundred eighty-one million, five hundred seventy-eight thousand, six hundred twenty-four".