478041480 has 256 divisors, whose sum is σ = 1871424000. Its totient is φ = 106251264.

The previous prime is 478041469. The next prime is 478041493. The reversal of 478041480 is 84140874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278866 + ... + 280574.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2^478041480 is an apocalyptic number.

478041480 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 478041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935712000).

478041480 is an abundant number, since it is smaller than the sum of its proper divisors (1393382520).

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

478041480 is a wasteful number, since it uses less digits than its factorization.

478041480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 478041480 is about 21864.1597140160. The cubic root of 478041480 is about 781.9071673301.

It can be divided in two parts, 47804 and 1480, that added together give a square (49284 = 222²).

The spelling of 478041480 in words is "four hundred seventy-eight million, forty-one thousand, four hundred eighty".