461262130560 has 1536 divisors, whose sum is σ = 2111687884800. Its totient is φ = 89878118400.

The previous prime is 461262130523. The next prime is 461262130597. The reversal of 461262130560 is 65031262164.

461262130560 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 62 + 1 + 30 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (461262130523) and next prime (461262130597).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1070213545 + ... + 1070213975.

It is an arithmetic number, because the mean of its divisors is an integer number (1374796800).

Almost surely, 2^461262130560 is an apocalyptic number.

461262130560 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 461262130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055843942400).

461262130560 is an abundant number, since it is smaller than the sum of its proper divisors (1650425754240).

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

461262130560 is a wasteful number, since it uses less digits than its factorization.

461262130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 461262130560 in words is "four hundred sixty-one billion, two hundred sixty-two million, one hundred thirty thousand, five hundred sixty".