470670413850 has 960 divisors, whose sum is σ = 1671205536000. Its totient is φ = 97572625920.

The previous prime is 470670413809. The next prime is 470670413881. The reversal of 470670413850 is 58314076074.

470670413850 is a `hidden beast` number, since 470 + 67 + 0 + 41 + 3 + 85 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 470670413796 and 470670413805.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1209949456 + ... + 1209949844.

It is an arithmetic number, because the mean of its divisors is an integer number (1740839100).

Almost surely, 2^470670413850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470670413850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835602768000).

470670413850 is an abundant number, since it is smaller than the sum of its proper divisors (1200535122150).

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

470670413850 is a wasteful number, since it uses less digits than its factorization.

470670413850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 470670413850 in words is "four hundred seventy billion, six hundred seventy million, four hundred thirteen thousand, eight hundred fifty".