478625616 has 360 divisors, whose sum is σ = 1710319104. Its totient is φ = 122204160.

The previous prime is 478625611. The next prime is 478625629. The reversal of 478625616 is 616526874.

478625616 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 25 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478625611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9030646 + ... + 9030698.

Almost surely, 2^478625616 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 478625616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855159552).

478625616 is an abundant number, since it is smaller than the sum of its proper divisors (1231693488).

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

478625616 is a wasteful number, since it uses less digits than its factorization.

478625616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 478625616 is about 21877.5139355458. The cubic root of 478625616 is about 782.2255178183.

The spelling of 478625616 in words is "four hundred seventy-eight million, six hundred twenty-five thousand, six hundred sixteen".