470172094560 has 720 divisors, whose sum is σ = 1959870372768. Its totient is φ = 103981916160.

The previous prime is 470172094523. The next prime is 470172094597. The reversal of 470172094560 is 65490271074.

470172094560 is a `hidden beast` number, since 4 + 70 + 17 + 2 + 0 + 9 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (470172094523) and next prime (470172094597).

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87179224 + ... + 87184616.

Almost surely, 2^470172094560 is an apocalyptic number.

470172094560 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 470172094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979935186384).

470172094560 is an abundant number, since it is smaller than the sum of its proper divisors (1489698278208).

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

470172094560 is a wasteful number, since it uses less digits than its factorization.

470172094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 470172094560 in words is "four hundred seventy billion, one hundred seventy-two million, ninety-four thousand, five hundred sixty".