478351524 has 144 divisors (see below), whose sum is σ = 1397329920. Its totient is φ = 126584640.

The previous prime is 478351519. The next prime is 478351547. The reversal of 478351524 is 425153874.

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, 524629 + ... + 525539.

It is an arithmetic number, because the mean of its divisors is an integer number (9703680).

Almost surely, 2^478351524 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 478351524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698664960).

478351524 is an abundant number, since it is smaller than the sum of its proper divisors (918978396).

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

478351524 is a wasteful number, since it uses less digits than its factorization.

478351524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 478351524 is about 21871.2487983654. The cubic root of 478351524 is about 782.0761716563.

The spelling of 478351524 in words is "four hundred seventy-eight million, three hundred fifty-one thousand, five hundred twenty-four".