478356480 has 264 divisors, whose sum is σ = 1895554752. Its totient is φ = 109264896.

The previous prime is 478356457. The next prime is 478356481. The reversal of 478356480 is 84653874.

478356480 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 564 + 80 = 666.

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 (478356481) 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, 321819 + ... + 323301.

Almost surely, 2^478356480 is an apocalyptic number.

478356480 is a gapful number since it is divisible by the number (40) 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 478356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947777376).

478356480 is an abundant number, since it is smaller than the sum of its proper divisors (1417198272).

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

478356480 is a wasteful number, since it uses less digits than its factorization.

478356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 478356480 is about 21871.3620975009. The cubic root of 478356480 is about 782.0788725683.

The spelling of 478356480 in words is "four hundred seventy-eight million, three hundred fifty-six thousand, four hundred eighty".