478852416 has 168 divisors, whose sum is σ = 1584009024. Its totient is φ = 135475200.

The previous prime is 478852411. The next prime is 478852427. The reversal of 478852416 is 614258874.

478852416 is a `hidden beast` number, since 47 + 88 + 524 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478852411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455091 + ... + 456141.

Almost surely, 2^478852416 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 478852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792004512).

478852416 is an abundant number, since it is smaller than the sum of its proper divisors (1105156608).

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

478852416 is a wasteful number, since it uses less digits than its factorization.

478852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1176 counting only the distinct ones).

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

The square root of 478852416 is about 21882.6967259522. The cubic root of 478852416 is about 782.3490525998.

The spelling of 478852416 in words is "four hundred seventy-eight million, eight hundred fifty-two thousand, four hundred sixteen".