461524451057560 has 256 divisors, whose sum is σ = 1162012630256640. Its totient is φ = 163547779000320.

The previous prime is 461524451057477. The next prime is 461524451057569. The reversal of 461524451057560 is 65750154425164.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461524451057569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9910953397 + ... + 9910999963.

It is an arithmetic number, because the mean of its divisors is an integer number (4539111836940).

Almost surely, 2^{461524451057560} is an apocalyptic number.

461524451057560 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 461524451057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581006315128320).

461524451057560 is an abundant number, since it is smaller than the sum of its proper divisors (700488179199080).

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

461524451057560 is a wasteful number, since it uses less digits than its factorization.

461524451057560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49506 (or 49502 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 55.

The spelling of 461524451057560 in words is "four hundred sixty-one trillion, five hundred twenty-four billion, four hundred fifty-one million, fifty-seven thousand, five hundred sixty".