478620640 has 192 divisors, whose sum is σ = 1265544000. Its totient is φ = 170311680.

The previous prime is 478620629. The next prime is 478620643. The reversal of 478620640 is 46026874.

It is a self number, because there is not a number n which added to its sum of digits gives 478620640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478620643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377716 + ... + 5377804.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2^478620640 is an apocalyptic number.

478620640 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 478620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632772000).

478620640 is an abundant number, since it is smaller than the sum of its proper divisors (786923360).

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

478620640 is a wasteful number, since it uses less digits than its factorization.

478620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 478620640 is about 21877.4002111768. The cubic root of 478620640 is about 782.2228070234. Note that the first 3 decimals are identical.

The spelling of 478620640 in words is "four hundred seventy-eight million, six hundred twenty thousand, six hundred forty".