460609344 has 168 divisors, whose sum is σ = 1435379400. Its totient is φ = 140378112.

The previous prime is 460609313. The next prime is 460609367. The reversal of 460609344 is 443906064.

460609344 is a `hidden beast` number, since 4 + 6 + 0 + 609 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39538944 + 421070400 = 6288^2 + 20520^2 .

It is a super-2 number, since 2×460609344² = 424321935560220672, which contains 22 as substring.

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 = 460609299 and 460609308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025632 + ... + 1026080.

It is an arithmetic number, because the mean of its divisors is an integer number (8543925).

Almost surely, 2^460609344 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 460609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717689700).

460609344 is an abundant number, since it is smaller than the sum of its proper divisors (974770056).

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

460609344 is a wasteful number, since it uses less digits than its factorization.

460609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 460609344 is about 21461.8112935512. The cubic root of 460609344 is about 772.2849673274.

The spelling of 460609344 in words is "four hundred sixty million, six hundred nine thousand, three hundred forty-four".