478311680 has 288 divisors, whose sum is σ = 1497581568. Its totient is φ = 141926400.

The previous prime is 478311671. The next prime is 478311731. The reversal of 478311680 is 86113874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266775 + ... + 2266985.

It is an arithmetic number, because the mean of its divisors is an integer number (5199936).

Almost surely, 2^478311680 is an apocalyptic number.

478311680 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 478311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748790784).

478311680 is an abundant number, since it is smaller than the sum of its proper divisors (1019269888).

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

478311680 is a wasteful number, since it uses less digits than its factorization.

478311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 478311680 is about 21870.3379031966. The cubic root of 478311680 is about 782.0544568666.

The spelling of 478311680 in words is "four hundred seventy-eight million, three hundred eleven thousand, six hundred eighty".