461457733044 has 576 divisors, whose sum is σ = 1501614858240. Its totient is φ = 108573696000.

The previous prime is 461457732991. The next prime is 461457733081. The reversal of 461457733044 is 440337754164.

It is a super-2 number, since 2×461457733044² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461457732984 and 461457733002.

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, 1128258312 + ... + 1128258720.

It is an arithmetic number, because the mean of its divisors is an integer number (2606970240).

Almost surely, 2^461457733044 is an apocalyptic number.

461457733044 is a gapful number since it is divisible by the number (44) 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 461457733044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750807429120).

461457733044 is an abundant number, since it is smaller than the sum of its proper divisors (1040157125196).

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

461457733044 is a wasteful number, since it uses less digits than its factorization.

461457733044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 461457733044 in words is "four hundred sixty-one billion, four hundred fifty-seven million, seven hundred thirty-three thousand, forty-four".