478784023440 has 160 divisors (see below), whose sum is σ = 1494829074816. Its totient is φ = 126767124480.

The previous prime is 478784023429. The next prime is 478784023447. The reversal of 478784023440 is 44320487874.

478784023440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×478784023440² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (478784023447) 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, 20309260 + ... + 20332820.

Almost surely, 2^478784023440 is an apocalyptic number.

478784023440 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 478784023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747414537408).

478784023440 is an abundant number, since it is smaller than the sum of its proper divisors (1016045051376).

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

478784023440 is a wasteful number, since it uses less digits than its factorization.

478784023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24177 (or 24171 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 478784023440 in words is "four hundred seventy-eight billion, seven hundred eighty-four million, twenty-three thousand, four hundred forty".