461081493600 has 1728 divisors, whose sum is σ = 2021154762816. Its totient is φ = 90172293120.

The previous prime is 461081493599. The next prime is 461081493623. The reversal of 461081493600 is 6394180164.

It is a super-2 number, since 2×461081493600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2936824722 + ... + 2936824878.

It is an arithmetic number, because the mean of its divisors is an integer number (1169649747).

Almost surely, 2^461081493600 is an apocalyptic number.

461081493600 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 461081493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010577381408).

461081493600 is an abundant number, since it is smaller than the sum of its proper divisors (1560073269216).

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

461081493600 is a wasteful number, since it uses less digits than its factorization.

461081493600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 461081493600 in words is "four hundred sixty-one billion, eighty-one million, four hundred ninety-three thousand, six hundred".