461275545600 has 540 divisors, whose sum is σ = 1664951954484. Its totient is φ = 122069975040.

The previous prime is 461275545547. The next prime is 461275545629. The reversal of 461275545600 is 6545572164.

461275545600 is a `hidden beast` number, since 4 + 6 + 12 + 75 + 5 + 4 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29595009024 + 431680536576 = 172032^2 + 657024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578764402 + ... + 578765198.

Almost surely, 2^461275545600 is an apocalyptic number.

461275545600 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 461275545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832475977242).

461275545600 is an abundant number, since it is smaller than the sum of its proper divisors (1203676408884).

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

461275545600 is a wasteful number, since it uses less digits than its factorization.

461275545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 461275545600 in words is "four hundred sixty-one billion, two hundred seventy-five million, five hundred forty-five thousand, six hundred".