478807524 has 240 divisors, whose sum is σ = 1472289280. Its totient is φ = 134369280.

The previous prime is 478807523. The next prime is 478807531. The reversal of 478807524 is 425708874.

478807524 is a `hidden beast` number, since 47 + 8 + 80 + 7 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 478807524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478807523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2480772 + ... + 2480964.

Almost surely, 2^478807524 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 478807524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736144640).

478807524 is an abundant number, since it is smaller than the sum of its proper divisors (993481756).

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

478807524 is a wasteful number, since it uses less digits than its factorization.

478807524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 478807524 is about 21881.6709599610. The cubic root of 478807524 is about 782.3246036534.

The spelling of 478807524 in words is "four hundred seventy-eight million, eight hundred seven thousand, five hundred twenty-four".