471887961600 has 480 divisors, whose sum is σ = 1709761996800. Its totient is φ = 113778688000.

The previous prime is 471887961599. The next prime is 471887961617. The reversal of 471887961600 is 6169788174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80675476 + ... + 80681324.

It is an arithmetic number, because the mean of its divisors is an integer number (3562004160).

Almost surely, 2^471887961600 is an apocalyptic number.

471887961600 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 471887961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854880998400).

471887961600 is an abundant number, since it is smaller than the sum of its proper divisors (1237874035200).

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

471887961600 is a wasteful number, since it uses less digits than its factorization.

471887961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 471887961600 in words is "four hundred seventy-one billion, eight hundred eighty-seven million, nine hundred sixty-one thousand, six hundred".