461550458880 has 1536 divisors, whose sum is σ = 1987614720000. Its totient is φ = 101443829760.

The previous prime is 461550458839. The next prime is 461550458891. The reversal of 461550458880 is 88854055164.

461550458880 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 50 + 4 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 2939811762 + ... + 2939811918.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020000).

Almost surely, 2^461550458880 is an apocalyptic number.

461550458880 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 461550458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993807360000).

461550458880 is an abundant number, since it is smaller than the sum of its proper divisors (1526064261120).

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

461550458880 is a wasteful number, since it uses less digits than its factorization.

461550458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 461550458880 in words is "four hundred sixty-one billion, five hundred fifty million, four hundred fifty-eight thousand, eight hundred eighty".