461256888960 has 512 divisors, whose sum is σ = 1892603635200. Its totient is φ = 103983906816.

The previous prime is 461256888929. The next prime is 461256888979. The reversal of 461256888960 is 69888652164.

461256888960 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 568 + 8 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×461256888960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8803962 + ... + 8856198.

It is an arithmetic number, because the mean of its divisors is an integer number (3696491475).

Almost surely, 2^461256888960 is an apocalyptic number.

461256888960 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 461256888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946301817600).

461256888960 is an abundant number, since it is smaller than the sum of its proper divisors (1431346746240).

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

461256888960 is a wasteful number, since it uses less digits than its factorization.

461256888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52345 (or 52327 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 461256888960 in words is "four hundred sixty-one billion, two hundred fifty-six million, eight hundred eighty-eight thousand, nine hundred sixty".