478675512 has 288 divisors, whose sum is σ = 1638795600. Its totient is φ = 125411328.

The previous prime is 478675501. The next prime is 478675513. The reversal of 478675512 is 215576874.

478675512 is a `hidden beast` number, since 4 + 78 + 67 + 5 + 512 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478675513) 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, 2480088 + ... + 2480280.

Almost surely, 2^478675512 is an apocalyptic number.

478675512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478675512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819397800).

478675512 is an abundant number, since it is smaller than the sum of its proper divisors (1160120088).

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

478675512 is a wasteful number, since it uses less digits than its factorization.

478675512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 478675512 is about 21878.6542547754. The cubic root of 478675512 is about 782.2526988181.

The spelling of 478675512 in words is "four hundred seventy-eight million, six hundred seventy-five thousand, five hundred twelve".