478541840 has 240 divisors, whose sum is σ = 1410659712. Its totient is φ = 149925888.

The previous prime is 478541839. The next prime is 478541849. The reversal of 478541840 is 48145874.

It is not an unprimeable number, because it can be changed into a prime (478541849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2865437 + ... + 2865603.

Almost surely, 2^478541840 is an apocalyptic number.

478541840 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 478541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

478541840 is an abundant number, since it is smaller than the sum of its proper divisors (932117872).

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

478541840 is a wasteful number, since it uses less digits than its factorization.

478541840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 478541840 is about 21875.5991917936. The cubic root of 478541840 is about 782.1798763353.

It can be divided in two parts, 47854 and 1840, that added together give a palindrome (49694).

The spelling of 478541840 in words is "four hundred seventy-eight million, five hundred forty-one thousand, eight hundred forty".