478836480 has 144 divisors (see below), whose sum is σ = 1610017920. Its totient is φ = 120950784.

The previous prime is 478836469. The next prime is 478836497. The reversal of 478836480 is 84638874.

It is a super-3 number, since 3×478836480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69679 + ... + 76241.

It is an arithmetic number, because the mean of its divisors is an integer number (11180680).

Almost surely, 2^478836480 is an apocalyptic number.

478836480 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 478836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805008960).

478836480 is an abundant number, since it is smaller than the sum of its proper divisors (1131181440).

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

478836480 is a wasteful number, since it uses less digits than its factorization.

478836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 478836480 is about 21882.3325996110. The cubic root of 478836480 is about 782.3403737582.

The spelling of 478836480 in words is "four hundred seventy-eight million, eight hundred thirty-six thousand, four hundred eighty".