478790477520 has 160 divisors (see below), whose sum is σ = 1509928501248. Its totient is φ = 125487419904.

The previous prime is 478790477513. The next prime is 478790477521. The reversal of 478790477520 is 25774097874.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478790477521) 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, 3187957 + ... + 3334763.

Almost surely, 2^478790477520 is an apocalyptic number.

478790477520 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 478790477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754964250624).

478790477520 is an abundant number, since it is smaller than the sum of its proper divisors (1031138023728).

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

478790477520 is a wasteful number, since it uses less digits than its factorization.

478790477520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147057 (or 147051 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 60.

The spelling of 478790477520 in words is "four hundred seventy-eight billion, seven hundred ninety million, four hundred seventy-seven thousand, five hundred twenty".