460044720 has 120 divisors (see below), whose sum is σ = 1626346800. Its totient is φ = 116218368.

The previous prime is 460044709. The next prime is 460044721. The reversal of 460044720 is 27440064.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×460044720² = 423282288799756800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460044721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (13552890).

Almost surely, 2^460044720 is an apocalyptic number.

460044720 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 460044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813173400).

460044720 is an abundant number, since it is smaller than the sum of its proper divisors (1166302080).

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

460044720 is a wasteful number, since it uses less digits than its factorization.

460044720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 460044720 is about 21448.6531045658. The cubic root of 460044720 is about 771.9692775947.

Adding to 460044720 its reverse (27440064), we get a palindrome (487484784).

The spelling of 460044720 in words is "four hundred sixty million, forty-four thousand, seven hundred twenty".