461163744 has 144 divisors (see below), whose sum is σ = 1401079680. Its totient is φ = 143458560.

The previous prime is 461163739. The next prime is 461163749. The reversal of 461163744 is 447361164.

461163744 is a `hidden beast` number, since 4 + 6 + 11 + 637 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (461163739) and next prime (461163749).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 461163699 and 461163708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461163749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387919 + ... + 389105.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^461163744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461163744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700539840).

461163744 is an abundant number, since it is smaller than the sum of its proper divisors (939915936).

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

461163744 is a wasteful number, since it uses less digits than its factorization.

461163744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 461163744 is about 21474.7233742370. The cubic root of 461163744 is about 772.5946897471.

The spelling of 461163744 in words is "four hundred sixty-one million, one hundred sixty-three thousand, seven hundred forty-four".