470304054027000 has 1536 divisors, whose sum is σ = 1756840214937600. Its totient is φ = 113103986688000.

The previous prime is 470304054026971. The next prime is 470304054027001. The reversal of 470304054027000 is 720450403074.

470304054027000 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 0 + 40 + 540 + 2 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470304054027001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42782133504 + ... + 42782144496.

It is an arithmetic number, because the mean of its divisors is an integer number (1143776181600).

Almost surely, 2^{470304054027000} is an apocalyptic number.

470304054027000 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 470304054027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878420107468800).

470304054027000 is an abundant number, since it is smaller than the sum of its proper divisors (1286536160910600).

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

470304054027000 is a wasteful number, since it uses less digits than its factorization.

470304054027000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11229 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 470304054027000 in words is "four hundred seventy trillion, three hundred four billion, fifty-four million, twenty-seven thousand".