461477855232 has 390 divisors, whose sum is σ = 1410511022298. Its totient is φ = 150923575296.

The previous prime is 461477855227. The next prime is 461477855257. The reversal of 461477855232 is 232558774164.

461477855232 is a `hidden beast` number, since 4 + 6 + 1 + 47 + 78 + 5 + 523 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426649337856 + 34828517376 = 653184^2 + 186624^2 .

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

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 8707129318 + ... + 8707129370.

Almost surely, 2^461477855232 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 461477855232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705255511149).

461477855232 is an abundant number, since it is smaller than the sum of its proper divisors (949033167066).

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

461477855232 is an frugal number, since it uses more digits than its factorization.

461477855232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 461477855232 in words is "four hundred sixty-one billion, four hundred seventy-seven million, eight hundred fifty-five thousand, two hundred thirty-two".