470594880000 has 1600 divisors, whose sum is σ = 2061708042240. Its totient is φ = 103680000000.

The previous prime is 470594879981. The next prime is 470594880047. The reversal of 470594880000 is 88495074.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1874879875 + ... + 1874880125.

Almost surely, 2^470594880000 is an apocalyptic number.

470594880000 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 470594880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030854021120).

470594880000 is an abundant number, since it is smaller than the sum of its proper divisors (1591113162240).

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

470594880000 is an equidigital number, since it uses as much as digits as its factorization.

470594880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 470594880000 in words is "four hundred seventy billion, five hundred ninety-four million, eight hundred eighty thousand".