478201824 has 36 divisors (see below), whose sum is σ = 1359887256. Its totient is φ = 159400512.

The previous prime is 478201817. The next prime is 478201831. The reversal of 478201824 is 428102874.

478201824 is a `hidden beast` number, since 478 + 2 + 0 + 182 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (478201817) and next prime (478201831).

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 829924 + ... + 830499.

It is an arithmetic number, because the mean of its divisors is an integer number (37774646).

Almost surely, 2^478201824 is an apocalyptic number.

It is an amenable number.

478201824 is an abundant number, since it is smaller than the sum of its proper divisors (881685432).

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

478201824 is a wasteful number, since it uses less digits than its factorization.

478201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660439 (or 1660428 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 478201824 is about 21867.8262294175. The cubic root of 478201824 is about 781.9945796246.

The spelling of 478201824 in words is "four hundred seventy-eight million, two hundred one thousand, eight hundred twenty-four".