478679040 has 468 divisors, whose sum is σ = 1966528044. Its totient is φ = 107347968.

The previous prime is 478679009. The next prime is 478679041. The reversal of 478679040 is 40976874.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 218566656 = 16128^2 + 14784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478679041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031654 + ... + 9031706.

It is an arithmetic number, because the mean of its divisors is an integer number (4201983).

Almost surely, 2^478679040 is an apocalyptic number.

478679040 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 478679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983264022).

478679040 is an abundant number, since it is smaller than the sum of its proper divisors (1487849004).

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

478679040 is a wasteful number, since it uses less digits than its factorization.

478679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 478679040 is about 21878.7348811580. The cubic root of 478679040 is about 782.2546206354.

The spelling of 478679040 in words is "four hundred seventy-eight million, six hundred seventy-nine thousand, forty".