460413504 has 112 divisors (see below), whose sum is σ = 1382572800. Its totient is φ = 150179328.

The previous prime is 460413469. The next prime is 460413509. The reversal of 460413504 is 405314064.

460413504 is a `hidden beast` number, since 4 + 604 + 1 + 3 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (460413509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78382 + ... + 84050.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^460413504 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 460413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691286400).

460413504 is an abundant number, since it is smaller than the sum of its proper divisors (922159296).

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

460413504 is a wasteful number, since it uses less digits than its factorization.

460413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 460413504 is about 21457.2482858357. The cubic root of 460413504 is about 772.1754994886.

Adding to 460413504 its reverse (405314064), we get a palindrome (865727568).

The spelling of 460413504 in words is "four hundred sixty million, four hundred thirteen thousand, five hundred four".