478745280 has 336 divisors, whose sum is σ = 1869460320. Its totient is φ = 111476736.

The previous prime is 478745249. The next prime is 478745291. The reversal of 478745280 is 82547874.

478745280 is a `hidden beast` number, since 47 + 87 + 4 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711024 + ... + 711696.

It is an arithmetic number, because the mean of its divisors is an integer number (5563870).

Almost surely, 2^478745280 is an apocalyptic number.

478745280 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 478745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934730160).

478745280 is an abundant number, since it is smaller than the sum of its proper divisors (1390715040).

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

478745280 is a wasteful number, since it uses less digits than its factorization.

478745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 478745280 is about 21880.2486274722. The cubic root of 478745280 is about 782.2907019842.

The spelling of 478745280 in words is "four hundred seventy-eight million, seven hundred forty-five thousand, two hundred eighty".