478641240 has 384 divisors, whose sum is σ = 2005585920. Its totient is φ = 96076800.

The previous prime is 478641223. The next prime is 478641253. The reversal of 478641240 is 42146874.

478641240 is a `hidden beast` number, since 4 + 7 + 8 + 641 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 478641195 and 478641204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 859042 + ... + 859598.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^478641240 is an apocalyptic number.

478641240 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 478641240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

478641240 is an abundant number, since it is smaller than the sum of its proper divisors (1526944680).

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

478641240 is a wasteful number, since it uses less digits than its factorization.

478641240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 478641240 is about 21877.8710115953. The cubic root of 478641240 is about 782.2340292436.

The spelling of 478641240 in words is "four hundred seventy-eight million, six hundred forty-one thousand, two hundred forty".