478682640 has 120 divisors (see below), whose sum is σ = 1619479680. Its totient is φ = 126703872.

The previous prime is 478682587. The next prime is 478682641. The reversal of 478682640 is 46286874.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478682641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97689 + ... + 102471.

It is an arithmetic number, because the mean of its divisors is an integer number (13495664).

Almost surely, 2^478682640 is an apocalyptic number.

478682640 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 478682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809739840).

478682640 is an abundant number, since it is smaller than the sum of its proper divisors (1140797040).

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

478682640 is a wasteful number, since it uses less digits than its factorization.

478682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 478682640 is about 21878.8171526708. The cubic root of 478682640 is about 782.2565816638.

The spelling of 478682640 in words is "four hundred seventy-eight million, six hundred eighty-two thousand, six hundred forty".