478306620 has 288 divisors, whose sum is σ = 1717148160. Its totient is φ = 110626560.

The previous prime is 478306603. The next prime is 478306651. The reversal of 478306620 is 26603874.

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 95 ways as a sum of consecutive naturals, for example, 1229386 + ... + 1229774.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2^478306620 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 478306620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

478306620 is an abundant number, since it is smaller than the sum of its proper divisors (1238841540).

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

478306620 is a wasteful number, since it uses less digits than its factorization.

478306620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 478306620 is about 21870.2222210932. Note that the first 5 decimals coincide. The cubic root of 478306620 is about 782.0516991045.

The spelling of 478306620 in words is "four hundred seventy-eight million, three hundred six thousand, six hundred twenty".