478395400320 has 512 divisors, whose sum is σ = 1787152608000. Its totient is φ = 120609865728.

The previous prime is 478395400291. The next prime is 478395400331. The reversal of 478395400320 is 23004593874.

478395400320 is a `hidden beast` number, since 4 + 7 + 83 + 9 + 540 + 0 + 3 + 20 = 666.

It is a super-2 number, since 2×478395400320² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201258972 + ... + 201261348.

Almost surely, 2^478395400320 is an apocalyptic number.

478395400320 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 478395400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893576304000).

478395400320 is an abundant number, since it is smaller than the sum of its proper divisors (1308757207680).

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

478395400320 is a wasteful number, since it uses less digits than its factorization.

478395400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 478395400320 in words is "four hundred seventy-eight billion, three hundred ninety-five million, four hundred thousand, three hundred twenty".