470388683700 has 864 divisors, whose sum is σ = 1737943264512. Its totient is φ = 109486080000.

The previous prime is 470388683693. The next prime is 470388683729. The reversal of 470388683700 is 7386883074.

470388683700 is a `hidden beast` number, since 470 + 3 + 88 + 68 + 37 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 733835380 + ... + 733836020.

It is an arithmetic number, because the mean of its divisors is an integer number (2011508408).

Almost surely, 2^470388683700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470388683700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868971632256).

470388683700 is an abundant number, since it is smaller than the sum of its proper divisors (1267554580812).

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

470388683700 is a wasteful number, since it uses less digits than its factorization.

470388683700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 470388683700 in words is "four hundred seventy billion, three hundred eighty-eight million, six hundred eighty-three thousand, seven hundred".