473960448000 has 1536 divisors, whose sum is σ = 1964867224320. Its totient is φ = 108999475200.

The previous prime is 473960447999. The next prime is 473960448011. The reversal of 473960448000 is 844069374.

473960448000 is a `hidden beast` number, since 4 + 7 + 39 + 604 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 11022335979 + ... + 11022336021.

Almost surely, 2^473960448000 is an apocalyptic number.

473960448000 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 473960448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982433612160).

473960448000 is an abundant number, since it is smaller than the sum of its proper divisors (1490906776320).

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

473960448000 is a wasteful number, since it uses less digits than its factorization.

473960448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 473960448000 in words is "four hundred seventy-three billion, nine hundred sixty million, four hundred forty-eight thousand".