461972179100 has 72 divisors (see below), whose sum is σ = 1026256815360. Its totient is φ = 180424784320.

The previous prime is 461972179099. The next prime is 461972179133. The reversal of 461972179100 is 1971279164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852007 + ... + 2086593.

It is an arithmetic number, because the mean of its divisors is an integer number (14253566880).

Almost surely, 2^461972179100 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 461972179100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513128407680).

461972179100 is an abundant number, since it is smaller than the sum of its proper divisors (564284636260).

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

461972179100 is a wasteful number, since it uses less digits than its factorization.

461972179100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235067 (or 235060 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The spelling of 461972179100 in words is "four hundred sixty-one billion, nine hundred seventy-two million, one hundred seventy-nine thousand, one hundred".