478367505 has 128 divisors (see below), whose sum is σ = 1123061760. Its totient is φ = 187038720.

The previous prime is 478367447. The next prime is 478367507. The reversal of 478367505 is 505763874.

478367505 is a `hidden beast` number, since 4 + 7 + 83 + 67 + 505 = 666.

It is not a de Polignac number, because 478367505 - 2¹¹ = 478365457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478367507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175362 + ... + 178068.

It is an arithmetic number, because the mean of its divisors is an integer number (8773920).

Almost surely, 2^478367505 is an apocalyptic number.

478367505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478367505 is an abundant number, since it is smaller than the sum of its proper divisors (644694255).

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

478367505 is a wasteful number, since it uses less digits than its factorization.

478367505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 478367505 is about 21871.6141379643. The cubic root of 478367505 is about 782.0848808861.

The spelling of 478367505 in words is "four hundred seventy-eight million, three hundred sixty-seven thousand, five hundred five".