470799604800 has 2100 divisors, whose sum is σ = 2161617802740. Its totient is φ = 100143267840.

The previous prime is 470799604787. The next prime is 470799604819. The reversal of 470799604800 is 8406997074.

It is a happy number.

470799604800 is a `hidden beast` number, since 4 + 7 + 0 + 79 + 96 + 0 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11961359424 + 458838245376 = 109368^2 + 677376^2 .

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 5289883156 + ... + 5289883244.

Almost surely, 2^470799604800 is an apocalyptic number.

470799604800 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 470799604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080808901370).

470799604800 is an abundant number, since it is smaller than the sum of its proper divisors (1690818197940).

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

470799604800 is an equidigital number, since it uses as much as digits as its factorization.

470799604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 470799604800 in words is "four hundred seventy billion, seven hundred ninety-nine million, six hundred four thousand, eight hundred".