470989209600 has 1836 divisors, whose sum is σ = 2165263560096. Its totient is φ = 99373547520.

The previous prime is 470989209571. The next prime is 470989209617. The reversal of 470989209600 is 6902989074.

470989209600 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 8 + 9 + 20 + 9 + 600 = 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 107 ways as a sum of consecutive naturals, for example, 36229939194 + ... + 36229939206.

Almost surely, 2^470989209600 is an apocalyptic number.

470989209600 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 470989209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082631780048).

470989209600 is an abundant number, since it is smaller than the sum of its proper divisors (1694274350496).

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

470989209600 is an frugal number, since it uses more digits than its factorization.

470989209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 470989209600 in words is "four hundred seventy billion, nine hundred eighty-nine million, two hundred nine thousand, six hundred".